Ricci Curvatures on Hypersurfaces of Almost Product-like Statistical Manifolds

Year 2024, Volume: 9 Issue: 1, 33 - 46, 30.04.2024

Mehmet Gülbahar Esra Erkan Meral Düzgör

https://doi.org/10.30931/jetas.1419021

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.

Keywords

Riemannian curvature invariants, hypersurfaces, product manifolds, Chen-Ricci inequality

Ethical Statement

Bu çalışmanın, özgün bir çalışma olduğunu; çalışmanın hazırlık, veri toplama, analiz ve bilgilerin sunumu olmak üzere tüm aşamalarından bilimsel etik ilke ve kurallarına uygun davrandığımı; bu çalışma kapsamında elde edilmeyen tüm veri ve bilgiler için kaynak gösterdiğimi ve bu kaynaklara kaynakçada yer verdiğim kabul ederek etik görev ve sorumluluklara riayet ettiğimi beyan ederim.

Supporting Institution

Scientific and Technological Research Council of Turkey (TÜBİTAK)

Project Number

122F326

Thanks

This study is supported by the Scientific and Technological Research Council of Turkey (TÜBiTAK)

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