Statistical connections on decomposable Riemann manifold

Statistical connections on decomposable Riemann manifold

Let $(M,g,\varphi )$ be an $n$-dimensional locally decomposable Riemann manifold, that is, $g(\varphi X,Y)=g(X,\varphi Y)$ and $\nabla \varphi =0$, where $\nabla $ is Riemann (Levi-Civita) connection of metric $g$. In this paper, we construct a new connection on locally decomposable Riemann manifold...

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Bibliographic Details
Main Author: Cagri Karaman
Format: Article
Language:English
Published: AIMS Press 2020-06-01
Series:AIMS Mathematics
Subjects:
statistical manifold
α-connection
pure tensors
tachibana operator
Online Access:https://www.aimspress.com/article/10.3934/math.2020302/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2020302/fulltext.html

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