{"id":"https://openalex.org/W4399157822","doi":"https://doi.org/10.3390/axioms13060370","title":"Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor","display_name":"Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor","publication_year":2024,"publication_date":"2024-05-30","ids":{"openalex":"https://openalex.org/W4399157822","doi":"https://doi.org/10.3390/axioms13060370"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13060370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13060370","pdf_url":"https://www.mdpi.com/2075-1680/13/6/370/pdf?version=1717061855","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/2075-1680/13/6/370/pdf?version=1717061855","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090554955","display_name":"Mohd Danish Siddiqi","orcid":"https://orcid.org/0000-0002-1713-6831"},"institutions":[{"id":"https://openalex.org/I91450128","display_name":"Jazan University","ror":"https://ror.org/02bjnq803","country_code":"SA","type":"education","lineage":["https://openalex.org/I91450128"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Mohd Danish Siddiqi","raw_affiliation_strings":["Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-1713-6831","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia","institution_ids":["https://openalex.org/I91450128"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092123171","display_name":"Rawan Bossly","orcid":null},"institutions":[{"id":"https://openalex.org/I91450128","display_name":"Jazan University","ror":"https://ror.org/02bjnq803","country_code":"SA","type":"education","lineage":["https://openalex.org/I91450128"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Rawan Bossly","raw_affiliation_strings":["Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia","institution_ids":["https://openalex.org/I91450128"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090554955"],"corresponding_institution_ids":["https://openalex.org/I91450128"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":0.7636,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64348507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"13","issue":"6","first_page":"370","last_page":"370"},"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":0.9959999918937683,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9779000282287598,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7486714720726013},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.691419243812561},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6052249670028687},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5881426930427551},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5049665570259094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46010127663612366},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43400442600250244},{"id":"https://openalex.org/keywords/metric-connection","display_name":"Metric connection","score":0.42886820435523987},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.31223464012145996},{"id":"https://openalex.org/keywords/fundamental-theorem-of-riemannian-geometry","display_name":"Fundamental theorem of Riemannian geometry","score":0.26574182510375977},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2053138017654419},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1787666380405426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7486714720726013},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.691419243812561},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6052249670028687},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5881426930427551},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5049665570259094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46010127663612366},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43400442600250244},{"id":"https://openalex.org/C76453154","wikidata":"https://www.wikidata.org/wiki/Q788494","display_name":"Metric connection","level":5,"score":0.42886820435523987},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.31223464012145996},{"id":"https://openalex.org/C4306028","wikidata":"https://www.wikidata.org/wiki/Q2185349","display_name":"Fundamental theorem of Riemannian geometry","level":4,"score":0.26574182510375977},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2053138017654419},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1787666380405426},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13060370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13060370","pdf_url":"https://www.mdpi.com/2075-1680/13/6/370/pdf?version=1717061855","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:65a54970346444579da39f9b49140fc5","is_oa":true,"landing_page_url":"https://doaj.org/article/65a54970346444579da39f9b49140fc5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 6, p 370 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13060370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13060370","pdf_url":"https://www.mdpi.com/2075-1680/13/6/370/pdf?version=1717061855","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","display_name":"Reduced inequalities","score":0.6100000143051147}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399157822.pdf","grobid_xml":"https://content.openalex.org/works/W4399157822.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W839320235","https://openalex.org/W1525986191","https://openalex.org/W2006464342","https://openalex.org/W2031077010","https://openalex.org/W2031917130","https://openalex.org/W2042423607","https://openalex.org/W2051983384","https://openalex.org/W2063184439","https://openalex.org/W2069790001","https://openalex.org/W2962866674","https://openalex.org/W3030976049","https://openalex.org/W3123853959","https://openalex.org/W3210222974","https://openalex.org/W4231270026","https://openalex.org/W4231692478","https://openalex.org/W4249250785","https://openalex.org/W4249279429","https://openalex.org/W4312934976","https://openalex.org/W4388633849","https://openalex.org/W4388857001","https://openalex.org/W4389056221","https://openalex.org/W4391338567","https://openalex.org/W4392662976","https://openalex.org/W4395002294","https://openalex.org/W6623657880","https://openalex.org/W6631425048","https://openalex.org/W6779268012","https://openalex.org/W6986973350","https://openalex.org/W7015143555"],"related_works":["https://openalex.org/W2617260886","https://openalex.org/W1528265664","https://openalex.org/W2084396992","https://openalex.org/W2798527936","https://openalex.org/W4387655609","https://openalex.org/W2591777334","https://openalex.org/W3089063208","https://openalex.org/W2510304711","https://openalex.org/W3142955819","https://openalex.org/W95513711"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,21,69],"study":[4],"the":[5,27,63,71],"Ricci":[6,43],"soliton":[7],"on":[8,81],"slant":[9,28],"submanifolds":[10,29,51,82],"of":[11,30,41,52,76,83],"trans-Sasakian":[12,31,53,84],"manifolds":[13,32,54,85],"with":[14,33,55,86],"a":[15,23,34,56,77,87],"quarter":[16,35,57,88],"symmetric":[17,36,58,89],"non-metric":[18,37,59,90],"connection.":[19,91],"Moreover,":[20],"derive":[22],"lower-bound-type":[24],"inequality":[25,65],"for":[26,61],"connection":[38,60],"in":[39,74],"terms":[40,75],"gradient":[42],"solitons.":[44],"We":[45],"also":[46],"characterize":[47],"anti-invariant,":[48],"invariant,":[49],"quasi-umbilical":[50],"which":[62],"same":[64],"case":[66],"holds.":[67],"Finally,":[68],"deduce":[70],"above":[72],"inequalities":[73],"scalar":[78],"concircular":[79],"field":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}