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Journals / International Electronic Journal of Geometry / 2023 / Volume: 16 Issue: 2

On Four Dimensional Hermitian Manifolds

Beldjilali Gherici(University of Mascara)0000-0002-8933-1548
Pages
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Publication Date
2023-10-29
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The present paper is devoted to 4-dimentional Hermitain manifold.
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Key Findings & Data: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.
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Conclusion & Impact:Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost Hermitian manifolds · almost contact metric manifolds · locally conformal Kähler manifolds

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.

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Cite This Article

Gherici, B. (2023). On Four Dimensional Hermitian Manifolds. International Electronic Journal of Geometry, Volume: 16 Issue: 2. https://doi.org/10.36890/iejg.1258996

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