On Four Dimensional Hermitian Manifolds

Authors : Beldjilali Gherici

Pages : 697-706

Doi:10.36890/iejg.1258996

View : 69 | Download : 133

Publication Date : 2023-10-29

Article Type : Research Paper

Abstract :The present paper is devoted to 4-dimentional Hermitain manifold. We give a new necessary and sufficient condition of integrability and we introduce a new class of locally conformal Kähler manifolds that we consider a twin of the Vaisman ones. Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.
Keywords : Almost Hermitian manifolds, almost contact metric manifolds, locally conformal Kähler manifolds