Ricci Soliton Lightlike Submanifolds with Co-Dimension $2$

Year 2023, Volume: 6 Issue: 2, 117 - 127, 30.06.2023

Erol Kılıç , Mehmet Gülbahar , Ecem Kavuk , Esra Erkan

https://doi.org/10.33401/fujma.1277288

Abstract

The necessary requirements for half-lightlike and coisotropic lightlike submanifolds to be a Ricci soliton are obtained. Some examples of Ricci soliton half-lightlike and Ricci soliton coisotropic lightlike submanifolds are given. The Ricci soliton equation is investigated on totally geodesic, totally umbilical, and irrotational lightlike submanifolds.

Keywords

Concircular vector field, Concurrent vector field, Ricci soliton

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