35 citations · 238 across the 42 of their papers we have counts for
42 papers
A Schur's theorem via a monotonicity and the expansion module
Lei Ni
In this paper we present a monotonicity which extends a classical theorem of A. Schur comparing the chord length of a convex plane curve with a space curve of smaller curvature. We…
A multiplicity estimate for the Jacobi operator of a nonflat Yang-Mills field over
Lei Ni
Here we provide refinements of the stability results of Simons and Xin, concerning the stability of Yang-Mills fields and harmonic maps respectively. The result also implies the ea…
An effective estimate on Betti numbers
Lei Ni
We provide an effective estimate on the Betti numbers of the loop space of a compact manifold which admits a finite Grauert tube. It implies the polynomial estimate in \cite{Chen}…
On Hermitian manifolds whose Chern connection is Ambrose-Singer
Lei Ni, Fangyang Zheng
We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such m…
An application of a -estimate for a complex Monge-Ampère equation
Chang Li, Lei Ni, Xiaohua Zhu
By studying a complex Monge-Ampère equation, we present an alternate proof to a recent result of Chu-Lee-Tam concerning the projectivity of a compact Kähler manifold with $\R…
General Schwarz Lemmata and their applications
Lei Ni
We prove estimates interpolating the Schwarz Lemmata of Royden-Yau and the ones recently established by the author. These more flexible estimates provide additional information on…