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Journals / International Electronic Journal of Geometry / 2023 / Volume: 16 Issue: 2

Locally Product-like Statistical Manifolds and Their Hypersurfaces

Lokal Çarpım benzeri İstatistiksel Manifoldlar ve Hiperyüzeyleri

Esra Erkan(HARRAN UNIVERSITY)0000-0003-0456-6418
Kazuhiko Takano(Shinshu University)0000-0002-5247-2531
Mehmet Gülbahar(HARRAN UNIVERSITY)0000-0001-6950-7633
Pages
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Publication Date
2023-10-29
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some relations involving the Riemannian curvature tensor of a tangential hypersurface are computed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, almost product-like Riemannian manifolds are investigated.
📊
Key Findings & Data:Basic properties on tangential hypersurfaces of almost product-like Riemannian manifolds are obtained.
💡
Conclusion & Impact:Some relations involving the Riemannian curvature tensor of a tangential hypersurface are computed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian product manifold · hypersurface · statistical manifold

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.

Özet

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.

🔖

Cite This Article

Erkan, E., Takano, K., Gülbahar, M. (2023). Locally Product-like Statistical Manifolds and Their Hypersurfaces. International Electronic Journal of Geometry, Volume: 16 Issue: 2. https://doi.org/10.36890/iejg.1307467

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