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Article 2024 · 2 atıf

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

Yan, Lixu, Li, Yanlin, Bilen, Lokman, Gezer, Aydin

Özet

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.

Anahtar Kelimeler
conformal vector field Ricci and Yamabe solitons statistical manifold twisted Sasaki metric tangent bundle HEAT-EQUATIONS POTENTIALS FLOWS
WoS Kategorileri
Mathematics
Künye
Dergi
MATHEMATICS
Yıl
2024
Cilt
12
Sayı
9
eISSN
2227-7390
DOI
10.3390/math12091395
WoS UID
WOS:001219978500001
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