{"id":"https://openalex.org/W2076462841","doi":"https://doi.org/10.1155/2012/395462","title":"Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection","display_name":"Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2076462841","doi":"https://doi.org/10.1155/2012/395462","mag":"2076462841"},"language":"en","primary_location":{"id":"doi:10.1155/2012/395462","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/395462","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/395462.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/395462.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076686729","display_name":"Bilal Eftal Acet","orcid":"https://orcid.org/0000-0002-0190-3741"},"institutions":[{"id":"https://openalex.org/I198587356","display_name":"Ad\u0131yaman University","ror":"https://ror.org/02s4gkg68","country_code":"TR","type":"education","lineage":["https://openalex.org/I198587356"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Bilal Eftal Acet","raw_affiliation_strings":["Department of Mathematics, Arts and Science Faculty, Ad\u0131yaman University, 02040 Ad\u0131yaman, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arts and Science Faculty, Ad\u0131yaman University, 02040 Ad\u0131yaman, Turkey","institution_ids":["https://openalex.org/I198587356"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089936614","display_name":"Erol K\u0131l\u0131\u00e7","orcid":"https://orcid.org/0000-0001-7536-0404"},"institutions":[{"id":"https://openalex.org/I20126385","display_name":"Inonu University","ror":"https://ror.org/04asck240","country_code":"TR","type":"education","lineage":["https://openalex.org/I20126385"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Erol K\u0131l\u0131\u00e7","raw_affiliation_strings":["Department of Mathematics, Arts and Science Faculty, \u0130n\u00f6n\u00fc University, 44280 Malatya, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arts and Science Faculty, \u0130n\u00f6n\u00fc University, 44280 Malatya, Turkey","institution_ids":["https://openalex.org/I20126385"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082965694","display_name":"Selcen Y\u00fcksel Perkta\u015f","orcid":"https://orcid.org/0000-0002-8848-0621"},"institutions":[{"id":"https://openalex.org/I198587356","display_name":"Ad\u0131yaman University","ror":"https://ror.org/02s4gkg68","country_code":"TR","type":"education","lineage":["https://openalex.org/I198587356"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Selcen Y\u00fcksel Perkta\u015f","raw_affiliation_strings":["Department of Mathematics, Arts and Science Faculty, Ad\u0131yaman University, 02040 Ad\u0131yaman, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arts and Science Faculty, Ad\u0131yaman University, 02040 Ad\u0131yaman, Turkey","institution_ids":["https://openalex.org/I198587356"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076686729"],"corresponding_institution_ids":["https://openalex.org/I198587356"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.15433763,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"24"},"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":0.9997000098228455,"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":0.991599977016449,"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/connection","display_name":"Connection (principal bundle)","score":0.8044729232788086},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.6958658695220947},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6931425929069519},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.671078085899353},{"id":"https://openalex.org/keywords/riemann-curvature-tensor","display_name":"Riemann curvature tensor","score":0.6639351844787598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6110517978668213},{"id":"https://openalex.org/keywords/ricci-curvature","display_name":"Ricci curvature","score":0.5485866069793701},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44362562894821167},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43405643105506897},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25487011671066284}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.8044729232788086},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.6958658695220947},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6931425929069519},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.671078085899353},{"id":"https://openalex.org/C183517385","wikidata":"https://www.wikidata.org/wiki/Q855112","display_name":"Riemann curvature tensor","level":3,"score":0.6639351844787598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6110517978668213},{"id":"https://openalex.org/C12089564","wikidata":"https://www.wikidata.org/wiki/Q1195879","display_name":"Ricci curvature","level":3,"score":0.5485866069793701},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44362562894821167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43405643105506897},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25487011671066284},{"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":3,"locations":[{"id":"doi:10.1155/2012/395462","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/395462","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/395462.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:395462","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/395462.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:7a8eb2eeea3940a887a82f56ec7f1404","is_oa":true,"landing_page_url":"https://doaj.org/article/7a8eb2eeea3940a887a82f56ec7f1404","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/395462","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/395462","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/395462.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2076462841.pdf","grobid_xml":"https://content.openalex.org/works/W2076462841.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1499847300","https://openalex.org/W1515483994","https://openalex.org/W1515893822","https://openalex.org/W1525341226","https://openalex.org/W1708848271","https://openalex.org/W1989360617","https://openalex.org/W1993329303","https://openalex.org/W2010806984","https://openalex.org/W2033081525","https://openalex.org/W2062826070","https://openalex.org/W2063600555","https://openalex.org/W2079287189","https://openalex.org/W2119102101","https://openalex.org/W2153608489","https://openalex.org/W2165153401"],"related_works":["https://openalex.org/W2421980838","https://openalex.org/W1520828852","https://openalex.org/W2254577414","https://openalex.org/W2604503417","https://openalex.org/W2744264588","https://openalex.org/W2017266758","https://openalex.org/W4386710603","https://openalex.org/W2736492506","https://openalex.org/W2375842186","https://openalex.org/W1998114779"],"abstract_inverted_index":{"We":[0,9,27,81],"study":[1],"canonical":[2,19,54,73],"paracontact":[3,20,55,74],"connection":[4,21,56,75],"on":[5,57],"a":[6,12,58,65],"para-Sasakian":[7,14,59,68,88],"manifold.":[8,26,60],"prove":[10],"that":[11,64],"Ricci-flat":[13],"manifold":[15,69],"with":[16,51,70],"respect":[17,52,71],"to":[18,53,72],"is":[22,62,76],"an<mml:math":[23],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24,38],"id=\"M1\"><mml:mrow><mml:mi>\u03b7</mml:mi></mml:mrow></mml:math>-Einstein":[25],"also":[28],"investigate":[29],"some":[30,83],"properties":[31],"of":[32,77],"curvature":[33,36,42,45,49],"tensor,":[34,40,43,46],"conformal":[35],"tensor,<mml:math":[37],"id=\"M2\"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>-curvature":[39],"concircular":[41],"projective":[44],"and":[47],"pseudo-projective":[48],"tensor":[50],"It":[61],"shown":[63],"concircularly":[66],"flat":[67,87],"constant":[78],"scalar":[79],"curvature.":[80],"give":[82],"characterizations":[84],"for":[85],"pseudo-projectively":[86],"manifolds.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}