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

https://izlik.org/JA24YN56FB

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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