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Commun. Korean Math. Soc. 2024; 39(2): 471-478
Online first article April 2, 2024 Printed April 30, 2024
https://doi.org/10.4134/CKMS.c230188
Copyright © The Korean Mathematical Society.
Some properties of critical point equations metrics on the statistical manifolds
Hajar Ghahremani-Gol, Mohammad Amin Sedghi
Shahed University; Shahed University
The aim of this paper is to investigate some properties of the critical points equations on the statistical manifolds. We obtain some geometric equations on the statistical manifolds which admit critical point equations. We give a relation only between potential function and difference tensor for a CPE metric on the statistical manifolds to be Einstein.
Keywords: Critical points equation metrics, statistical manifolds, scalar curvature
MSC numbers: 53C21, 53E99, 53B12
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