Article
2025
·
2 citations
Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold
Abstract
Let (M-n, del, g) denote a statistical manifold equipped with a torsion-free linear connection del and a (pseudo-) Riemannian metric g. The tangent bundle TM of the statistical manifold (M-n, del, g) is endowed with a twisted Sasaki metric, denoted as G. The objective of this paper is to explore conformal Ricci, conformal Yamabe, and conformal Ricci-Yamabe solitons on the tangent bundle TM concerning the twisted Sasaki metric G.
Keywords
Conformal soliton
tangent bundle
twisted Sasaki metric
statistical manifold.
G-NATURAL METRICS
INFORMATION GEOMETRY
YAMABE SOLITON
WoS Categories
Mathematics
Citation
- Journal
- INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
- Year
- 2025
- Volume
- 18
- Issue
- 1
- Pages
- 86-96
- ISSN
- 1307-5624
- DOI
- 10.36890/IEJG.1499698
- WoS UID
- WOS:001477658700005