Quasi Yamabe Solitons on CR Submanifolds of Maximal CR Dimension in Kähler Manifolds

Year 2024, , 267 - 276, 23.04.2024

Milos B Djoric , Mirjana Djoric

https://doi.org/10.36890/iejg.1454012

Abstract

In this paper we give necessary and sufficient conditions for a CR submanifold of maximal CR
dimension in arbitrary Kähler manifold to admit (quasi-)Yamabe structure, with naturally chosen
soliton vector field. When the ambient manifold is a non-flat complex space form, we give a
complete classification of such solitons, under certain conditions.

Keywords

Yamabe soliton, quasi Yamabe soliton, complex space form, CR submanifold of maximal CR dimension, structure vector field, constant scalar curvature

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