Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold-Reference-Cited by-同舟云学术

Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold

Published:2024-05-02 Issue:9 Volume:12 Page:1395
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Yan Lixu¹,Li Yanlin²^ORCID,Bilen Lokman³,Gezer Aydın⁴

Affiliation:

1. Department of Mathematics, Northeast Forestry University, Harbin 150040, China

2. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

3. Faculty of Science and Art, Department of Mathematics, Iğdır University, Iğdır 76100, Turkey

4. Faculty of Science, Department of Mathematics, Ataturk University, Erzurum 25240, Turkey

Abstract

Let (M,∇,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle TM. The second objective is to explore conformal vector fields and Ricci, Yamabe, and gradient Ricci–Yamabe solitons on the tangent bundle TM according to the twisted Sasaki metric G.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/9/1395/pdf

Reference50 articles.

1. The Ricci flow on surfaces;Hamilton;Contemp. Math.,1988

2. Harnack estimates for geometric flows, applications to Ricci flow coupled with harmonic map flow;Guo;Geom. Dedicata,2014

3. Hui, S.K., Azami, S., and Bhattacharyya, S. (2022). Hamilton and Souplet-Zhang type estimations on semilinear parabolic system along geometric flow. arXiv.

4. Harnack estimates for nonlinear backward heat equations in geometric flows;Guo;J. Func. Anal.,2014

5. Harnack estimates for heat equations with potentials on evolving manifolds;Abolarinwa;Mediterr. J. Math.,2016