most citedHolonomy and the Ricci curvature of complex Hermitian manifolds

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math.DG2025

Compact, connected, complex manifolds that admit a compact transitive group of holomorphic automorphisms

Lei Ni, Nolan Wallach

The purpose of this paper is to develop a Lie algebraic approach to obtain new proofs of important results of H.-C. Wang, Tits and Wolf-Wang-Ziller on compact complex homogeneous m…

math.DG2024★ 1 cited

Holonomy and the Ricci curvature of complex Hermitian manifolds

Lei Ni

We prove two results on geometric consequences of the representation of restricted holonomy group of a Hermitian connection. The first result concerns when such a Hermitian manifol…