Locally Product-like Statistical Manifolds and Their Hypersurfaces

Year 2023, , 435 - 450, 29.10.2023

Esra Erkan , Kazuhiko Takano , Mehmet Gülbahar

https://doi.org/10.36890/iejg.1307467

Cited By: 3

Abstract

In this paper, almost product-like Riemannian manifolds are investigated. Basic properties on tangential hypersurfaces of almost product-like Riemannian manifolds are obtained. Some examples of tangential hypersurfaces are presented. Some relations involving the Riemannian curvature tensor of a tangential hypersurface are computed.

Keywords

Riemannian product manifold, hypersurface, statistical manifold, curvature

Supporting Institution

TÜBİTAK

Project Number

122F326

Thanks

The first and third authors of this paper is supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) with project number 122F326.

Lokal Çarpım benzeri İstatistiksel Manifoldlar ve Hiperyüzeyleri

Abstract

Bu çalışmada, hemen hemen çarpım benzeri Riemann manifoldları araştırılmıştır. Hemen hemen çarpım benzeri Riemann manifoldlarının teğet hiperyüzeyleri üzerindeki temel özellikler elde edilmiştir. Teğet hiperyüzeylerin bazı örnekleri sunulmuştur. Bir teğet hiperyüzeyin Riemann eğrilik tensörünü içeren bazı bağıntılar hesaplanmıştır.

Keywords

Riemann çarpım manifoldu, hiperyüzey, istatistiksel manifold, eğrilik

Project Number

122F326

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