{"id":"https://openalex.org/W4403976535","doi":"https://doi.org/10.3390/axioms13110753","title":"A Conformal \u03b7-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold","display_name":"A Conformal \u03b7-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold","publication_year":2024,"publication_date":"2024-10-31","ids":{"openalex":"https://openalex.org/W4403976535","doi":"https://doi.org/10.3390/axioms13110753"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13110753","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110753","pdf_url":"https://www.mdpi.com/2075-1680/13/11/753/pdf?version=1730363189","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/2075-1680/13/11/753/pdf?version=1730363189","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"],"raw_orcid":"https://orcid.org/0000-0003-1614-3228","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/A5112632123","display_name":"A. Mallick","orcid":null},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arup Kumar Mallick","raw_affiliation_strings":["Department of Mathematics, Jadavpur University, Kolkata 700032, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jadavpur University, Kolkata 700032, India","institution_ids":["https://openalex.org/I170979836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069683747","display_name":"Arindam Bhattacharyya","orcid":"https://orcid.org/0000-0002-0086-8219"},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arindam Bhattacharyya","raw_affiliation_strings":["Department of Mathematics, Jadavpur University, Kolkata 700032, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jadavpur University, Kolkata 700032, India","institution_ids":["https://openalex.org/I170979836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041719127","display_name":"Mi\u0107a S. Stankovi\u0107","orcid":"https://orcid.org/0000-0002-5632-0041"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Mi\u0107a S. Stankovi\u0107","raw_affiliation_strings":["Faculty of Sciences and Mathematics, University of Nis, Visegradska, 33, 1800 Nis, Serbia"],"raw_orcid":"https://orcid.org/0000-0002-5632-0041","affiliations":[{"raw_affiliation_string":"Faculty of Sciences and Mathematics, University of Nis, Visegradska, 33, 1800 Nis, Serbia","institution_ids":["https://openalex.org/I152518017"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"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":9.0375,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.9867678,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"13","issue":"11","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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6787155270576477},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5728144645690918},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.47523239254951477},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.47421908378601074},{"id":"https://openalex.org/keywords/ricci-curvature","display_name":"Ricci curvature","score":0.4410625696182251},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.42534345388412476},{"id":"https://openalex.org/keywords/ricci-flow","display_name":"Ricci flow","score":0.42292702198028564},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3752520680427551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.325707346200943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30299293994903564},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11219266057014465},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06883347034454346},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05980536341667175},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.052870362997055054}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6787155270576477},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5728144645690918},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.47523239254951477},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47421908378601074},{"id":"https://openalex.org/C12089564","wikidata":"https://www.wikidata.org/wiki/Q1195879","display_name":"Ricci curvature","level":3,"score":0.4410625696182251},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.42534345388412476},{"id":"https://openalex.org/C148729565","wikidata":"https://www.wikidata.org/wiki/Q1361396","display_name":"Ricci flow","level":4,"score":0.42292702198028564},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3752520680427551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.325707346200943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30299293994903564},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11219266057014465},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06883347034454346},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05980536341667175},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.052870362997055054},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"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/axioms13110753","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110753","pdf_url":"https://www.mdpi.com/2075-1680/13/11/753/pdf?version=1730363189","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:5f813f5e838d4ab1909615bb2d1d05f8","is_oa":true,"landing_page_url":"https://doaj.org/article/5f813f5e838d4ab1909615bb2d1d05f8","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 11, p 753 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13110753","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110753","pdf_url":"https://www.mdpi.com/2075-1680/13/11/753/pdf?version=1730363189","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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403976535.pdf","grobid_xml":"https://content.openalex.org/works/W4403976535.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W32285662","https://openalex.org/W223868246","https://openalex.org/W788106678","https://openalex.org/W1515893822","https://openalex.org/W1525341226","https://openalex.org/W1530161281","https://openalex.org/W1545636607","https://openalex.org/W2001033330","https://openalex.org/W2010806984","https://openalex.org/W2020195184","https://openalex.org/W2029403139","https://openalex.org/W2061781546","https://openalex.org/W2063600555","https://openalex.org/W2090642757","https://openalex.org/W2119221672","https://openalex.org/W2269888670","https://openalex.org/W2417408697","https://openalex.org/W2810570858","https://openalex.org/W2963562125","https://openalex.org/W3037330816","https://openalex.org/W3186121034","https://openalex.org/W3197244060","https://openalex.org/W4205545190","https://openalex.org/W4230839756","https://openalex.org/W4286714348","https://openalex.org/W4308595947","https://openalex.org/W4377713345","https://openalex.org/W4399340049","https://openalex.org/W4400321268","https://openalex.org/W4401337803","https://openalex.org/W4402196541","https://openalex.org/W4402988348","https://openalex.org/W4403191240","https://openalex.org/W4403282475","https://openalex.org/W6608781490","https://openalex.org/W6631118588","https://openalex.org/W6632579624","https://openalex.org/W6650634180","https://openalex.org/W6653364174","https://openalex.org/W6673159125","https://openalex.org/W6873311888"],"related_works":["https://openalex.org/W2258976577","https://openalex.org/W2963825903","https://openalex.org/W4302366010","https://openalex.org/W3015550683","https://openalex.org/W2962998822","https://openalex.org/W2045902829","https://openalex.org/W2069272128","https://openalex.org/W2058336778","https://openalex.org/W1498681081","https://openalex.org/W2052871300"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,15,30,68,102],"some":[4,89],"geometrical":[5,74],"and":[6,87],"physical":[7,91],"properties":[8],"of":[9,37,76,99],"a":[10,16,35,83,96,100,103],"conformal":[11],"\u03b7-Ricci":[12],"soliton":[13,81],"(C\u03b7-RS)":[14],"four-dimension":[17,54,69,104],"Lorentzian":[18],"Para-Sasakian":[19],"(LP-S)":[20],"manifold.":[21,43,106],"The":[22],"first":[23],"section":[24],"presents":[25],"an":[26],"introduction":[27],"to":[28,53],"C\u03b7-RS":[29,67,101],"LP-S":[31,55,70,105],"manifolds,":[32],"followed":[33],"by":[34],"discussion":[36],"preliminary":[38],"ideas":[39],"about":[40],"the":[41,45],"LP-Sasakian":[42],"In":[44],"subsequent":[46],"sections,":[47],"we":[48,61,78,94],"establish":[49],"several":[50],"results":[51],"pertaining":[52],"manifolds":[56],"that":[57],"exhibit":[58],"C\u03b7-RS.":[59],"Additionally,":[60],"consider":[62,79],"certain":[63],"conditions":[64],"associated":[65],"with":[66],"manifolds.":[71],"Besides":[72],"these":[73],"points":[75],"view,":[77],"this":[80],"in":[82],"perfect":[84],"fluid":[85],"spacetime":[86],"obtain":[88],"interesting":[90],"properties.":[92],"Finally,":[93],"present":[95],"case":[97],"study":[98]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2024-11-02T00:00:00"}
