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

https://izlik.org/JA26SF65MA

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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