2010Journal of Nanyang Institute of TechnologyRequires access

SEVERAL JUDJING THEOREMS OF KHLER MANIFOLD

Yang Yong-ju

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Abstract

By applications of theory of Khler manifold,three results are proofed:Several conditions of whether a locally conformal compact Khler manifold is Khler manifold; Whether a locally conformal compact Khler manifold with some conditions of curvature tensor is Khler manifold; Whether two kind of concret Hermitian manifolds is Khler manifold.

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What this paper is about

By applications of theory of Khler manifold,three results are proofed:Several conditions of whether a locally conformal compact Khler manifold is Khler manifold; Whether a locally conformal compact Khler manifold with some conditions of curvature tensor is Khler manifold; Whether two kind of concret Hermitian manifolds is Khler manifold.

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Available abstract

By applications of theory of Khler manifold,three results are proofed:Several conditions of whether a locally conformal compact Khler manifold is Khler manifold; Whether a locally conformal compact Khler manifold with some conditions of curvature tensor is Khler manifold; Whether two kind of concret Hermitian manifolds is Khler manifold.

Key concepts: Kähler manifold, Manifold (fluid mechanics), Hermitian manifold, Pseudo-Riemannian manifold, Pure mathematics, Conformal map, Invariant manifold, Mathematics

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