On Four Dimensional Hermitian Manifolds

On Four Dimensional Hermitian Manifolds

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,...

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Veröffentlicht in:International Electronic Journal of Geometry 2023-10, Vol.16 (2), p.697-706
1. Verfasser: Gherici, Beldjilali
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1307-5624
1307-5624
DOI:10.36890/iejg.1258996