Solitons on Nearly Cosymplectic Manifold Exhibitting Schouten Van Kampen Connection

The following research investigates various types of soliton of NC (Nearly Cosymplectic) manifolds with SVK (Schouten-van Kampen) connections, which are steady, shrinking, or expanding. Further, we investigate the geometric characteristics of Ricci solitons, Yamabe solitons, $\eta$-ricci soliton etc. We also study the curvature features of the SVK connection on an NC manifold. In addition, an example is developed to demonstrate the results.

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Publication Details

Journal
Communications in Advanced Mathematical Sciences
Published
2024-12-30
DOI
https://doi.org/10.33434/cams.1541298
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
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article

Solitons on Nearly Cosymplectic Manifold Exhibitting Schouten Van Kampen Connection

Jaya Upreti, S. Vijai Kumar, Prabin Kumar Bora
Communications in Advanced Mathematical Sciences
Geometric Analysis and Curvature Flows
article

Solitons on Nearly Cosymplectic Manifold Exhibitting Schouten Van Kampen Connection

Jaya Upreti, S. Vijai Kumar, Prabin Kumar Bora
article en

Abstract

The following research investigates various types of soliton of NC (Nearly Cosymplectic) manifolds with SVK (Schouten-van Kampen) connections, which are steady, shrinking, or expanding. Further, we investigate the geometric characteristics of Ricci solitons, Yamabe solitons, $\eta$-ricci soliton etc. We also study the curvature features of the SVK connection on an NC manifold. In addition, an example is developed to demonstrate the results.

Communications in Advanced Mathematical SciencesVol. 7(4)
Openalex Percentile: Top 60%
Geometric Analysis and Curvature Flows
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