{"id":"https://openalex.org/W4407353233","doi":"https://doi.org/10.3390/sym17020279","title":"Eigenvalues for the Generalized Laplace Operator of Slant Submanifolds in the Sasakian Space Forms Admitting Semi-Symmetric Metric Connection","display_name":"Eigenvalues for the Generalized Laplace Operator of Slant Submanifolds in the Sasakian Space Forms Admitting Semi-Symmetric Metric Connection","publication_year":2025,"publication_date":"2025-02-11","ids":{"openalex":"https://openalex.org/W4407353233","doi":"https://doi.org/10.3390/sym17020279"},"language":"en","primary_location":{"id":"doi:10.3390/sym17020279","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17020279","pdf_url":"https://www.mdpi.com/2073-8994/17/2/279/pdf?version=1739433208","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/2/279/pdf?version=1739433208","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006916462","display_name":"Ibrahim Al-Dayel","orcid":"https://orcid.org/0000-0002-5901-2511"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ibrahim Al-Dayel","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030826658","display_name":"Meraj Ali Khan","orcid":"https://orcid.org/0000-0001-6554-1228"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Meraj Ali Khan","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039657075","display_name":"Sudhakar Kumar Chaubey","orcid":"https://orcid.org/0000-0002-3882-4596"},"institutions":[{"id":"https://openalex.org/I4210114546","display_name":"College of Applied Sciences, Nizwa","ror":"https://ror.org/01xf31a71","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210114546"]},{"id":"https://openalex.org/I4403386702","display_name":"University of Technology and Applied Sciences-Suhar","ror":"https://ror.org/018g8cj68","country_code":"OM","type":"education","lineage":["https://openalex.org/I4403386702","https://openalex.org/I4405258755"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"Sudhakar Kumar Chaubey","raw_affiliation_strings":["Section of Mathematics, Department of Information Technology, College of Computing and Information Sciences, University of Technology and Applied Sciences-Shinas, Shinas 324, Oman"],"affiliations":[{"raw_affiliation_string":"Section of Mathematics, Department of Information Technology, College of Computing and Information Sciences, University of Technology and Applied Sciences-Shinas, Shinas 324, Oman","institution_ids":["https://openalex.org/I4210114546","https://openalex.org/I4403386702"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030826658"],"corresponding_institution_ids":["https://openalex.org/I240666556"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03866861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"2","first_page":"279","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9983999729156494,"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":0.9983999729156494,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9811000227928162,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.978600025177002,"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/connection","display_name":"Connection (principal bundle)","score":0.7496177554130554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6618620157241821},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6048519015312195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5438836216926575},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5143734216690063},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5117180347442627},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5097183585166931},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5039052367210388},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4868907034397125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2080211639404297},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1385449469089508},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11842519044876099}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7496177554130554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6618620157241821},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6048519015312195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5438836216926575},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5143734216690063},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5117180347442627},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5097183585166931},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5039052367210388},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4868907034397125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2080211639404297},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1385449469089508},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11842519044876099},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17020279","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17020279","pdf_url":"https://www.mdpi.com/2073-8994/17/2/279/pdf?version=1739433208","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"}],"best_oa_location":{"id":"doi:10.3390/sym17020279","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17020279","pdf_url":"https://www.mdpi.com/2073-8994/17/2/279/pdf?version=1739433208","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/G5174915960","display_name":null,"funder_award_id":"IMSIU-DDRSP2502","funder_id":"https://openalex.org/F4320325415","funder_display_name":"Al-Imam Muhammad Ibn Saud Islamic University"}],"funders":[{"id":"https://openalex.org/F4320325415","display_name":"Al-Imam Muhammad Ibn Saud Islamic University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407353233.pdf","grobid_xml":"https://content.openalex.org/works/W4407353233.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1524567323","https://openalex.org/W1529093145","https://openalex.org/W1980759080","https://openalex.org/W1987059097","https://openalex.org/W1987452713","https://openalex.org/W2005453315","https://openalex.org/W2009974034","https://openalex.org/W2031077010","https://openalex.org/W2053860749","https://openalex.org/W2062383478","https://openalex.org/W2068265150","https://openalex.org/W2076854382","https://openalex.org/W2090224342","https://openalex.org/W2092536356","https://openalex.org/W2141851881","https://openalex.org/W2163387286","https://openalex.org/W2763953018","https://openalex.org/W2793612763","https://openalex.org/W2908864481","https://openalex.org/W2942794965","https://openalex.org/W2963409650","https://openalex.org/W2963997631","https://openalex.org/W3021080398","https://openalex.org/W3165479893","https://openalex.org/W4315648692","https://openalex.org/W4402988348","https://openalex.org/W4403191240","https://openalex.org/W4403282475","https://openalex.org/W4403893806","https://openalex.org/W4403976535","https://openalex.org/W4404373447","https://openalex.org/W4404524043","https://openalex.org/W6677103597","https://openalex.org/W6703551492","https://openalex.org/W6881721458","https://openalex.org/W7015143555"],"related_works":["https://openalex.org/W587735977","https://openalex.org/W1978142926","https://openalex.org/W3157395178","https://openalex.org/W184455116","https://openalex.org/W2058473748","https://openalex.org/W2921748058","https://openalex.org/W2359849704","https://openalex.org/W4380570985","https://openalex.org/W2354023265","https://openalex.org/W2579684049"],"abstract_inverted_index":{"This":[0],"study":[1],"is":[2,97],"focused":[3],"on":[4,9,70,82],"pioneering":[5],"new":[6],"upper":[7],"bounds":[8],"mean":[10],"curvature":[11,15],"and":[12],"constant":[13],"sectional":[14],"relative":[16],"to":[17,41,78],"the":[18,23,28,43,47,71,79],"first":[19],"positive":[20],"eigenvalue":[21,45],"of":[22,103],"generalized":[24,80],"Laplacian":[25,81],"operator":[26,49],"in":[27,50],"differentiable":[29],"manifolds":[30],"with":[31,60,89,99],"a":[32,55,61,86,90,100],"semi-symmetric":[33,62,91],"metric":[34,63,92],"connection.":[35,65,94],"Multiple":[36],"approaches":[37],"are":[38],"being":[39],"explored":[40],"determine":[42],"principal":[44],"for":[46],"generalized-Laplacian":[48],"closed":[51],"oriented-slant":[52],"submanifolds":[53,84],"within":[54,85],"Sasakian":[56],"space":[57],"form":[58],"(ssf)":[59],"(ssm)":[64,93],"By":[66],"utilizing":[67],"our":[68],"findings":[69],"Laplacian,":[72],"we":[73],"extend":[74],"several":[75],"Reilly-type":[76],"inequalities":[77],"slant":[83],"unit":[87],"sphere":[88],"The":[95],"research":[96],"concluded":[98],"detailed":[101],"examination":[102],"specific":[104],"scenarios.":[105]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
