What does this research mean for the field?

Conformal Ricci, conformal Yamabe, and conformal Ricci-Yamabe solitons exist on the tangent bundle of a statistical manifold equipped with a twisted Sasaki metric. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to investigate conformal Ricci, Yamabe, and Ricci-Yamabe solitons on the tangent bundle with a twisted Sasaki metric.

March 1, 2026

Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold

Key Points

The aim is to investigate conformal Ricci, Yamabe, and Ricci-Yamabe solitons on the tangent bundle with a twisted Sasaki metric.
Examined a statistical manifold with a torsion-free connection and pseudo-Riemannian metric.
Analyzed the tangent bundle with a twisted Sasaki metric.
Explored different types of conformal geometric solitons.
Identified conditions under which conformal Ricci solitons exist.
Described properties of conformal Yamabe and Ricci-Yamabe solitons on the tangent bundle.
Provided examples illustrating the relationship between these geometrical structures.

Abstract

Let (Mn,∇, g) denote a statistical manifold equipped with a torsion-free linear connection ∇ and a (pseudo-) Riemannian metric g. The tangent bundle TM of the statistical manifold (Mn,∇, 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.

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Cite This Study

Gezer et al. (Wed,) studied this question.

synapsesocial.com/papers/69a3d8b8ec16d51705d2fd1b https://doi.org/https://doi.org/10.36890/iejg.1499698

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