{"id":"https://openalex.org/W4283773164","doi":"https://doi.org/10.3390/axioms11070324","title":"Improved Chen\u2019s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms","display_name":"Improved Chen\u2019s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms","publication_year":2022,"publication_date":"2022-07-01","ids":{"openalex":"https://openalex.org/W4283773164","doi":"https://doi.org/10.3390/axioms11070324"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11070324","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070324","pdf_url":"https://www.mdpi.com/2075-1680/11/7/324/pdf?version=1658139726","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/7/324/pdf?version=1658139726","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100376055","display_name":"Yanlin Li","orcid":"https://orcid.org/0000-0003-1614-3228"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanlin Li","raw_affiliation_strings":["School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071007995","display_name":"Mohan Khatri","orcid":"https://orcid.org/0000-0002-7867-7148"},"institutions":[{"id":"https://openalex.org/I195459967","display_name":"Mizoram University","ror":"https://ror.org/04b1m3e94","country_code":"IN","type":"education","lineage":["https://openalex.org/I195459967"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohan Khatri","raw_affiliation_strings":["Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India","institution_ids":["https://openalex.org/I195459967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101801116","display_name":"Jay Prakash Singh","orcid":"https://orcid.org/0000-0002-2050-3524"},"institutions":[{"id":"https://openalex.org/I195459967","display_name":"Mizoram University","ror":"https://ror.org/04b1m3e94","country_code":"IN","type":"education","lineage":["https://openalex.org/I195459967"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jay Prakash Singh","raw_affiliation_strings":["Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India","institution_ids":["https://openalex.org/I195459967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039657075","display_name":"Sudhakar Kumar Chaubey","orcid":"https://orcid.org/0000-0002-3882-4596"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sudhakar K. Chaubey","raw_affiliation_strings":["Department of Information Technology, University of Technology and Applied Sciences, P.O. Box 77, Shinas 324, Oman"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology, University of Technology and Applied Sciences, P.O. Box 77, Shinas 324, Oman","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100376055"],"corresponding_institution_ids":["https://openalex.org/I163151501"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":8.9025,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.98891199,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"11","issue":"7","first_page":"324","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7874184250831604},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.7581993341445923},{"id":"https://openalex.org/keywords/space-form","display_name":"Space form","score":0.7454653382301331},{"id":"https://openalex.org/keywords/chen","display_name":"Chen","score":0.7266131639480591},{"id":"https://openalex.org/keywords/submanifold","display_name":"Submanifold","score":0.7130994200706482},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6267579793930054},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5909253358840942},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5546852946281433},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4559200406074524},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.43652868270874023},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.20780566334724426},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2048003375530243}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7874184250831604},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.7581993341445923},{"id":"https://openalex.org/C2776341046","wikidata":"https://www.wikidata.org/wiki/Q4381552","display_name":"Space form","level":3,"score":0.7454653382301331},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.7266131639480591},{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.7130994200706482},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6267579793930054},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5909253358840942},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5546852946281433},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4559200406074524},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.43652868270874023},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.20780566334724426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2048003375530243},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11070324","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070324","pdf_url":"https://www.mdpi.com/2075-1680/11/7/324/pdf?version=1658139726","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8cf816e918ab424b88243ee85e5cb299","is_oa":true,"landing_page_url":"https://doaj.org/article/8cf816e918ab424b88243ee85e5cb299","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 7, p 324 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/7/324/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11070324","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 7; Pages: 324","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11070324","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070324","pdf_url":"https://www.mdpi.com/2075-1680/11/7/324/pdf?version=1658139726","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5400000214576721,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G260937657","display_name":null,"funder_award_id":"12101168","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3468771053","display_name":null,"funder_award_id":"LQ22A010014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283773164.pdf","grobid_xml":"https://content.openalex.org/works/W4283773164.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1984247807","https://openalex.org/W1989232640","https://openalex.org/W2003649382","https://openalex.org/W2025562685","https://openalex.org/W2031077010","https://openalex.org/W2031917130","https://openalex.org/W2038659849","https://openalex.org/W2043956904","https://openalex.org/W2051557156","https://openalex.org/W2055328636","https://openalex.org/W2092536356","https://openalex.org/W2095564804","https://openalex.org/W2150254557","https://openalex.org/W2329956298","https://openalex.org/W2345845600","https://openalex.org/W2485010074","https://openalex.org/W2565246418","https://openalex.org/W2594398775","https://openalex.org/W2602667348","https://openalex.org/W2794359485","https://openalex.org/W2896604775","https://openalex.org/W2943893562","https://openalex.org/W2946363963","https://openalex.org/W2963883129","https://openalex.org/W2964158723","https://openalex.org/W2993653754","https://openalex.org/W3109692335","https://openalex.org/W3174334787","https://openalex.org/W3190171603","https://openalex.org/W3202302296","https://openalex.org/W3205651275","https://openalex.org/W3216654576","https://openalex.org/W4200031527","https://openalex.org/W4205545190","https://openalex.org/W4206993698","https://openalex.org/W4220945854","https://openalex.org/W4226241150","https://openalex.org/W4226529241","https://openalex.org/W4230839756","https://openalex.org/W4234023572","https://openalex.org/W4292809587","https://openalex.org/W6704755402","https://openalex.org/W6722520462","https://openalex.org/W7015143555"],"related_works":["https://openalex.org/W2363944084","https://openalex.org/W4385061167","https://openalex.org/W2369576177","https://openalex.org/W92362892","https://openalex.org/W3023374613","https://openalex.org/W2139370415","https://openalex.org/W276304175","https://openalex.org/W2115131806","https://openalex.org/W84243567","https://openalex.org/W2337719112"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,46],"derive":[4],"Chen\u2019s":[5,8],"inequalities":[6],"involving":[7],"\u03b4-invariant":[9],"\u03b4M,":[10],"Riemannian":[11,16],"invariant":[12,17],"\u03b4(m1,\u22ef,mk),":[13],"Ricci":[14],"curvature,":[15],"\u0398k(2\u2264k\u2264m),":[18],"the":[19,23,26,43,49,53],"scalar":[20],"curvature":[21,28],"and":[22],"squared":[24],"of":[25,31,42,56],"mean":[27],"for":[29,52],"submanifolds":[30],"generalized":[32,57],"Sasakian-space-forms":[33],"endowed":[34],"with":[35],"a":[36],"quarter-symmetric":[37],"connection.":[38],"As":[39],"an":[40],"application":[41],"obtain":[44],"inequality,":[45],"first":[47],"derived":[48],"Chen":[50],"inequality":[51],"bi-slant":[54],"submanifold":[55],"Sasakian-space-forms.":[58]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":17}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2022-07-03T00:00:00"}