1 citations · 1 across the 3 of their papers we have counts for
4 papers
A single induction proof of Simons' Riemannian holonomy theorem
Lei Ni
We give a detailed and complete algebraic proof of Simons' Riemannian holonomy theorem by a single strong induction on the dimension of the linear span of the curvature orbit. The…
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…
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…
A classification of locally Chern homogeneous Hermitian manifolds
Lei Ni, Fangyang Zheng
We apply the algebraic consideration of holonomy systems to study Hermitian manifolds whose Chern connection is Ambrose-Singer and prove structure theorems for such manifolds. The…