On Four Dimensional Hermitian Manifolds

Year 2023, Volume: 16 Issue: 2, 697 - 706, 29.10.2023

Beldjilali Gherici

https://doi.org/10.36890/iejg.1258996

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

Thanks

It should be noted that this article is directed specifically to participate in the special issue of honoring the memory of the Prof. Dr. Krishan Lal Duggal.

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