{"id":"https://openalex.org/W4327953366","doi":"https://doi.org/10.3390/sym15030753","title":"Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection","display_name":"Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection","publication_year":2023,"publication_date":"2023-03-19","ids":{"openalex":"https://openalex.org/W4327953366","doi":"https://doi.org/10.3390/sym15030753"},"language":"en","primary_location":{"id":"doi:10.3390/sym15030753","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15030753","pdf_url":"https://www.mdpi.com/2073-8994/15/3/753/pdf?version=1679289767","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/3/753/pdf?version=1679289767","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057177281","display_name":"Mohammad Nazrul Islam Khan","orcid":"https://orcid.org/0000-0002-9652-0355"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammad Nazrul Islam Khan","raw_affiliation_strings":["Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-9652-0355","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039522245","display_name":"Fatemah Mofarreh","orcid":"https://orcid.org/0000-0002-2116-7382"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fatemah Mofarreh","raw_affiliation_strings":["Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-2116-7382","affiliations":[{"raw_affiliation_string":"Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002943288","display_name":"Abdul Haseeb","orcid":"https://orcid.org/0000-0002-1175-6423"},"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":"Abdul Haseeb","raw_affiliation_strings":["Department of Mathematics, College of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-1175-6423","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia","institution_ids":["https://openalex.org/I91450128"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002943288"],"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":8.2964,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.98504237,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"15","issue":"3","first_page":"753","last_page":"753"},"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":0.9994000196456909,"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":0.9983000159263611,"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/tangent-bundle","display_name":"Tangent bundle","score":0.8053823709487915},{"id":"https://openalex.org/keywords/metric-connection","display_name":"Metric connection","score":0.7132229208946228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.712515115737915},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6717460751533508},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5107581615447998},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4989795684814453},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4988393783569336},{"id":"https://openalex.org/keywords/ricci-curvature","display_name":"Ricci curvature","score":0.4941764175891876},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4799623489379883},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.44652488827705383},{"id":"https://openalex.org/keywords/riemann-curvature-tensor","display_name":"Riemann curvature tensor","score":0.42605945467948914},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.41715484857559204},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3234604597091675},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20276319980621338},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2013041377067566},{"id":"https://openalex.org/keywords/fundamental-theorem-of-riemannian-geometry","display_name":"Fundamental theorem of Riemannian geometry","score":0.19281572103500366},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.1464976668357849}],"concepts":[{"id":"https://openalex.org/C28903235","wikidata":"https://www.wikidata.org/wiki/Q746550","display_name":"Tangent bundle","level":3,"score":0.8053823709487915},{"id":"https://openalex.org/C76453154","wikidata":"https://www.wikidata.org/wiki/Q788494","display_name":"Metric connection","level":5,"score":0.7132229208946228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.712515115737915},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6717460751533508},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5107581615447998},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4989795684814453},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4988393783569336},{"id":"https://openalex.org/C12089564","wikidata":"https://www.wikidata.org/wiki/Q1195879","display_name":"Ricci curvature","level":3,"score":0.4941764175891876},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4799623489379883},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.44652488827705383},{"id":"https://openalex.org/C183517385","wikidata":"https://www.wikidata.org/wiki/Q855112","display_name":"Riemann curvature tensor","level":3,"score":0.42605945467948914},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.41715484857559204},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3234604597091675},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20276319980621338},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2013041377067566},{"id":"https://openalex.org/C4306028","wikidata":"https://www.wikidata.org/wiki/Q2185349","display_name":"Fundamental theorem of Riemannian geometry","level":4,"score":0.19281572103500366},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.1464976668357849},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym15030753","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15030753","pdf_url":"https://www.mdpi.com/2073-8994/15/3/753/pdf?version=1679289767","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cd1a53e233db4184b579808f34ce0342","is_oa":false,"landing_page_url":"https://doaj.org/article/cd1a53e233db4184b579808f34ce0342","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 3, p 753 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym15030753","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15030753","pdf_url":"https://www.mdpi.com/2073-8994/15/3/753/pdf?version=1679289767","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5249852646","display_name":null,"funder_award_id":"PNURSP2023R27","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"}],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4327953366.pdf","grobid_xml":"https://content.openalex.org/works/W4327953366.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W607483624","https://openalex.org/W922606924","https://openalex.org/W2003569232","https://openalex.org/W2090281170","https://openalex.org/W2107535157","https://openalex.org/W2231086524","https://openalex.org/W2323232429","https://openalex.org/W2728154867","https://openalex.org/W2735646567","https://openalex.org/W2792355251","https://openalex.org/W2793383541","https://openalex.org/W3003764578","https://openalex.org/W3004839731","https://openalex.org/W3172475380","https://openalex.org/W3211513336","https://openalex.org/W4213359075","https://openalex.org/W4233417571","https://openalex.org/W4233907720","https://openalex.org/W4285255419","https://openalex.org/W4306406252","https://openalex.org/W4312047754","https://openalex.org/W4312202504","https://openalex.org/W4312847342","https://openalex.org/W4313259774","https://openalex.org/W4313824547","https://openalex.org/W4317503052","https://openalex.org/W4322768285","https://openalex.org/W4324127036","https://openalex.org/W6651308322","https://openalex.org/W6673538201","https://openalex.org/W6689508884","https://openalex.org/W6741206026","https://openalex.org/W6773445412","https://openalex.org/W6847962568"],"related_works":["https://openalex.org/W4389515359","https://openalex.org/W2058655323","https://openalex.org/W2024803319","https://openalex.org/W2254577414","https://openalex.org/W2946879650","https://openalex.org/W2604503417","https://openalex.org/W1519498103","https://openalex.org/W2087358568","https://openalex.org/W4387382666","https://openalex.org/W4294993027"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,15],"this":[3],"study":[4],"is":[5],"to":[6,21],"evaluate":[7],"the":[8,12,22,27],"curvature":[9],"tensor":[10,14],"and":[11,42],"Ricci":[13],"a":[16,34],"P-Sasakian":[17,36,40,44],"manifold":[18],"with":[19],"respect":[20],"quarter-symmetric":[23],"metric":[24],"connection":[25],"on":[26,33,46],"tangent":[28],"bundle":[29],"TM.":[30],"Certain":[31],"results":[32],"semisymmetric":[35],"manifold,":[37],"generalized":[38],"recurrent":[39],"manifolds,":[41],"pseudo-symmetric":[43],"manifolds":[45],"TM":[47],"are":[48],"proved.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2023-03-21T00:00:00"}