Solitons on Nearly Cosymplectic Manifold Exhibitting Schouten Van Kampen Connection

Year 2024, Volume: 7 Issue: 4, 220 - 228, 31.12.2024

Pushpa Bora , Jaya Upreti , Shankar Kumar

https://doi.org/10.33434/cams.1541298

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.

Keywords

Einstein manifold, Nearly cosymplectic manifold, Quasi Einstein manifold, Ricci soliton, Schouten van Kampen connection, Yamabe soliton

Project Number

DST/WISE-PhD/PM/2023/6(G)

Thanks

The author acknowledges the Department of Science & Technology, Government of India, for financial support vide reference no DST/WISE-PhD/PM/2023/6(Gunder 'WISE FELLOWSHIP for Ph.D.' to carry out this work.

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