Communications of the
Korean Mathematical Society
CKMS
Article
ALL ARTICLES
View
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
Fulltext
Stats or Metrics
Share this article on :
Related articles in CKMS
-
Geometry of generalized Berger-type deformed metric on $B$-manifold
2023; 38(4): 1281-1298
-
Certain study of generalized $B$ curvature tensor within the framework of Kenmotsu manifold
2023; 38(3): 893-900
-
Some results on the geometry of a non-conformal deformation of a metric
2022; 37(3): 865-879
-
Curvatures of semi-symmetric metric connections on statistical manifolds
2021; 36(1): 149-164
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd