Article
2024
·
2 citations
Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold
Abstract
Let (M,del,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.
Keywords
conformal vector field
Ricci and Yamabe solitons
statistical manifold
twisted Sasaki metric
tangent bundle
HEAT-EQUATIONS
POTENTIALS
FLOWS
WoS Categories
Mathematics
Citation
- Journal
- MATHEMATICS
- Year
- 2024
- Volume
- 12
- Issue
- 9
- eISSN
- 2227-7390
- DOI
- 10.3390/math12091395
- WoS UID
- WOS:001219978500001