Ricci Curvatures on Hypersurfaces of Almost Product-like Statistical Manifolds

Riemannian curvature invariants on hypersurfaces of an almost product-like manifold with constant curvature υ are computed. Various relationships involving sectional curvatures and Ricci curvatures have been obtained. Using the Chen-Ricci inequality, some characterizations are presented.

Saved in:
Bibliographic Details
Published inJournal of Engineering Technology and Applied Sciences Vol. 9; no. 1; pp. 33 - 46
Main Authors Gülbahar, Mehmet, Erkan, Esra, Düzgör, Meral
Format Journal Article
LanguageEnglish
Published 30.04.2024
Online AccessGet full text
ISSN2548-0391
2548-0391
DOI10.30931/jetas.1419021

Cover

Abstract Riemannian curvature invariants on hypersurfaces of an almost product-like manifold with constant curvature υ are computed. Various relationships involving sectional curvatures and Ricci curvatures have been obtained. Using the Chen-Ricci inequality, some characterizations are presented.
AbstractList Riemannian curvature invariants on hypersurfaces of an almost product-like manifold with constant curvature υ are computed. Various relationships involving sectional curvatures and Ricci curvatures have been obtained. Using the Chen-Ricci inequality, some characterizations are presented.
Author Düzgör, Meral
Gülbahar, Mehmet
Erkan, Esra
Author_xml – sequence: 1
  givenname: Mehmet
  orcidid: 0000-0001-6950-7633
  surname: Gülbahar
  fullname: Gülbahar, Mehmet
– sequence: 2
  givenname: Esra
  orcidid: 0000-0003-0456-6418
  surname: Erkan
  fullname: Erkan, Esra
– sequence: 3
  givenname: Meral
  orcidid: 0009-0008-7411-1498
  surname: Düzgör
  fullname: Düzgör, Meral
BookMark eNpN0L1OwzAUBWALFYlSujL7BRJ87Zs6HqsIKFL5EXSPHMeWDGlc2Q5S3x5ROjCdozOc4bsmszGMlpBbYKVgSsDdp806lYCgGIcLMucV1gUTCmb_-hVZpuQ7JqCCGiuYk5d3b4ynzRS_dZ6iTTSMdHM82Jim6LT5HRxdD_uQMn2LoZ9MLgb_ZelH1tmn7I0e6LMevQtDn27IpdNDsstzLsju4X7XbIrt6-NTs94WRiooFKADbmpgCrREXIGUnOlV3YFRUhqOBrFHDrxj4HgPKLCqreGstyi1FAtS_t2aGFKK1rWH6Pc6Hltg7cmjPXm0Zw_xAzu5VUs
Cites_doi 10.1515/dema-2016-0029
10.47000/tjmcs.1322351
10.3906/mat-1205-64
10.3390/math10132290
10.1016/j.laa.2016.02.021
10.1017/S0017089599970271
10.4134/JKMS.2006.43.4.717
10.28924/2291-8639-20-2022-59
10.1016/0893-6080(95)00003-8
10.1142/9789814329644
10.1016/j.difgeo.2011.04.012
10.56947/gjom.v1i1.235
10.3390/math10213993
10.1007/s00025-023-01904-8
10.1016/j.difgeo.2008.10.019
10.46793/KgJMat2103.449S
10.3390/math10040591
10.2996/kmj/1138036379
10.3390/sym15050976
10.1007/PL00000420
10.5556/j.tkjm.47.2016.1748
10.1155/2021/5900801
10.36890/iejg.1307467
10.3390/math7121202
10.1063/1.4959050
10.36890/iejg.776559
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.30931/jetas.1419021
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
DeliveryMethod fulltext_linktorsrc
EISSN 2548-0391
EndPage 46
ExternalDocumentID 10_30931_jetas_1419021
GroupedDBID AAYXX
ALMA_UNASSIGNED_HOLDINGS
ARCSS
CITATION
EN8
ID FETCH-LOGICAL-c791-914f12c81091a744617720a68b1c977c24c44d4212b01f2d143458ec20de47a73
ISSN 2548-0391
IngestDate Tue Jul 01 02:24:48 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed false
IsScholarly true
Issue 1
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c791-914f12c81091a744617720a68b1c977c24c44d4212b01f2d143458ec20de47a73
ORCID 0009-0008-7411-1498
0000-0001-6950-7633
0000-0003-0456-6418
OpenAccessLink https://dergipark.org.tr/tr/pub/jetas/issue/84337/1419021
PageCount 14
ParticipantIDs crossref_primary_10_30931_jetas_1419021
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2024-04-30
PublicationDateYYYYMMDD 2024-04-30
PublicationDate_xml – month: 04
  year: 2024
  text: 2024-04-30
  day: 30
PublicationDecade 2020
PublicationTitle Journal of Engineering Technology and Applied Sciences
PublicationYear 2024
References ref13
ref35
ref12
ref34
ref15
ref14
ref31
ref30
ref11
ref33
ref10
ref32
ref2
ref1
ref17
ref16
ref19
ref18
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref3
ref6
ref5
References_xml – ident: ref1
– ident: ref5
– ident: ref28
  doi: 10.1515/dema-2016-0029
– ident: ref10
  doi: 10.47000/tjmcs.1322351
– ident: ref27
  doi: 10.3906/mat-1205-64
– ident: ref17
  doi: 10.3390/math10132290
– ident: ref35
  doi: 10.1016/j.laa.2016.02.021
– ident: ref2
  doi: 10.1017/S0017089599970271
– ident: ref34
  doi: 10.4134/JKMS.2006.43.4.717
– ident: ref32
  doi: 10.28924/2291-8639-20-2022-59
– ident: ref11
  doi: 10.1016/0893-6080(95)00003-8
– ident: ref4
  doi: 10.1142/9789814329644
– ident: ref15
– ident: ref22
  doi: 10.1016/j.difgeo.2011.04.012
– ident: ref29
  doi: 10.56947/gjom.v1i1.235
– ident: ref7
  doi: 10.3390/math10213993
– ident: ref24
  doi: 10.1007/s00025-023-01904-8
– ident: ref21
  doi: 10.1016/j.difgeo.2008.10.019
– ident: ref23
  doi: 10.46793/KgJMat2103.449S
– ident: ref6
  doi: 10.3390/math10040591
– ident: ref26
– ident: ref25
  doi: 10.2996/kmj/1138036379
– ident: ref31
  doi: 10.3390/sym15050976
– ident: ref3
  doi: 10.1007/PL00000420
– ident: ref8
– ident: ref9
  doi: 10.5556/j.tkjm.47.2016.1748
– ident: ref18
– ident: ref30
  doi: 10.1155/2021/5900801
– ident: ref19
  doi: 10.36890/iejg.1307467
– ident: ref16
  doi: 10.3390/math7121202
– ident: ref13
  doi: 10.1063/1.4959050
– ident: ref20
  doi: 10.36890/iejg.776559
– ident: ref12
– ident: ref33
– ident: ref14
SSID ssib031518451
ssib048876987
Score 2.2546089
Snippet Riemannian curvature invariants on hypersurfaces of an almost product-like manifold with constant curvature υ are computed. Various relationships involving...
SourceID crossref
SourceType Index Database
StartPage 33
Title Ricci Curvatures on Hypersurfaces of Almost Product-like Statistical Manifolds
Volume 9
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELZKWVgQCBBveUBiQIHENokzQilUSGVARWKrEseBipKgtFk68Af405wfTQJ0AJYksmIr8Z3uvnsaoSMZUD8hUehQCiYKcyXIwVhQR9liMhSCelI59Pt3fu-B3T6eP7ZaH42spXIan4rZwrqS_1AVxoCuqkr2D5StFoUBeAb6whUoDNdf0fh-JMTopFMqv2pZSO3574FhWUzKItW5Vgpnjl_zyVRVBKjWrs549CI1xNQdmlVlbpSN0nxsCn4X4NRGx8KGI14HHeYQ1gqICp7fqPD7ZWccR88mf7svn1_rSutu8WLcrt1JUWmFKzNn9qTvvp1W2C2wfgnCGiEWLb7A8lTFe-YsrlO5YMzK3_AHmxlZahpkWK1s_JTf5b0K42qBL1XbSY8BuiFerdnm0fxvCq9KQwQDSK8w1POHdv4SWiZgc6jjMPrv3blwogCNOKtDqCD4Aj_UBzBWf2Waguolz758UgP0NNDLYA2tWnLiC8ND66glsw10p_kH1_yD8wx_4R-cp9jwD27yD27wD674ZxMNrruDTs-x52s4Igg9UHMs9YjgqjVsFDAGWDYgbuTz2BNgFQjCBGOJyhiIXS8lCSBrds6lIG4iWRAFdAu1szyT2whzN4H9IDwBuMuoyyOfiiROScQZvM29HXQ8___hm-miMly8-bu_fnMPrdRst4_a06KUBwAQp_GhJtwnvfRjoQ
linkProvider ISSN International Centre
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Ricci+Curvatures+on+Hypersurfaces+of+Almost+Product-like+Statistical+Manifolds&rft.jtitle=Journal+of+Engineering+Technology+and+Applied+Sciences&rft.au=G%C3%BClbahar%2C+Mehmet&rft.au=Erkan%2C+Esra&rft.au=D%C3%BCzg%C3%B6r%2C+Meral&rft.date=2024-04-30&rft.issn=2548-0391&rft.eissn=2548-0391&rft.volume=9&rft.issue=1&rft.spage=33&rft.epage=46&rft_id=info:doi/10.30931%2Fjetas.1419021&rft.externalDBID=n%2Fa&rft.externalDocID=10_30931_jetas_1419021
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2548-0391&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2548-0391&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2548-0391&client=summon