Ricci Soliton Lightlike Submanifolds with Co-Dimension $2$

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

References

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