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September 10, 2025Boletim da Sociedade Paranaense de MatemáticaOpen Access

Geometry of -ricci Yamabe soliton on nearly Sasakian manifold

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Ricci-semisymmetricity influences the behavior of $ta$-Ricci-Yamabe solitons on nearly-Sasakian manifolds.
Conditions for solitons to be shrinking, steady, or expanding are explored in detail within the framework of nearly-Sasakian geometry.
The study includes an examination of 3-dimensional nearly-Sasakian manifolds under specific geometric conditions.
By analyzing properties of solitons, the paper enhances understanding of their implications in differential geometry.

Implication

This analysis explores conditions for Ricci-semisymmetricity in nearly-sasakian manifolds, indicating types of solitons.

Abstract

The present paper is devoted to study -Ricci-Yamabe soliton on nearly-Sasakian manifolds. We examine Ricci-semisymmetricity and Einstein- semisymmetric on nearly-sasakian manifold to obtain condition for shrinking or steady or expanding. Further, we analyze the 3-dimensional nearly-Sasakian manifolds admitting -Ricci-Yamabe soliton satisfying certain geometric conditions.

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Cite This Study

Alloush et al. (2025) studied this question.

synapsesocial.com/papers/68c18f399b7b07f3a06159a3 https://doi.org/10.5269/bspm.70582

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Implication

This analysis explores conditions for Ricci-semisymmetricity in nearly-sasakian manifolds, indicating types of solitons.

Geometry of -ricci Yamabe soliton on nearly Sasakian manifold

Key Points

Implication

Abstract

Discussion

Cite This Study

Geometry of -ricci Yamabe soliton on nearly Sasakian manifold

Key Points

Implication

Abstract

Discussion

Cite This Study

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