Locally Product-like Statistical Manifolds and Their Hypersurfaces

Yıl 2023, Cilt: 16 Sayı: 2, 435 - 450, 29.10.2023

Esra Erkan , Kazuhiko Takano , Mehmet Gülbahar

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

Cited By: 3

Öz

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.

Anahtar Kelimeler

Riemannian product manifold, hypersurface, statistical manifold, curvature

Destekleyen Kurum

TÜBİTAK

Proje Numarası

122F326

Teşekkür

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

Öz

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.

Anahtar Kelimeler

Riemann çarpım manifoldu, hiperyüzey, istatistiksel manifold, eğrilik

Proje Numarası

122F326

Kaynakça

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