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

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International Electronic Journal of Geometry
Volume:17 Issue:1
Quasi Yamabe Solitons on CR Submanifolds of Maximal CR Dimension in Kähler Manifolds

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

Authors : Milos B Djoric, Mirjana Djoric

Pages : 267-276

Doi:10.36890/iejg.1454012

View : 80 | Download : 62

Publication Date : 2024-04-23

Article Type : Research Paper

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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