α-Connections and a Symmetric Cubic Form on a Riemannian Manifold

α-Connections and a Symmetric Cubic Form on a Riemannian Manifold

In this paper, we study the construction of α -conformally equivalent statistical manifolds for a given symmetric cubic form on a Riemannian manifold. In particular, we describe a method to obtain α -conformally equivalent connections from the relation between tensors and the symmetric cub...

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Bibliographic Details
Main Author: Keiko Uohashi
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Entropy
Subjects:
information geometry
statistical manifold
affine geometry
α-connection
conformal equivalence
Online Access:https://www.mdpi.com/1099-4300/19/7/344

Internet

https://www.mdpi.com/1099-4300/19/7/344

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