7 citations · 26 across the 11 of their papers we have counts for
11 papers · 1 filter
Ancient solution to Kahler-Ricci flow
Lei Ni
In this paper, we prove that any non-flat ancient solution to Kähler-Ricci flow with bounded nonnegative bisectional curvature has asymptotic volume ratio zero. We also prove that…
Entropy and reduced distance for Ricci expanders
Michael Feldman, Tom Ilmanen, Lei Ni
Perelman has discovered two integral quantities, the shrinker entropy $\cW$ and the (backward) reduced volume, that are monotone under the Ricci flow $\pa g_{ij}/\pa t=-2R_{ij}$ an…
A monotonicity formula on complete Kähler manifolds with nonnegative bisectional curvature
Lei Ni
In this paper, we derive a new monotonicity formula for the plurisuhbarmonic functions on complete Kähler manifolds with nonnegative bisectional curvature. As applications we deriv…
Ricci flow and nonnegativity of curvature
Lei Ni
In this paper, we prove a general maximum principle for the time dependent Lichnerowicz heat equation on symmetric tensors coupled with the Ricci flow on complete Riemannian manifo…
Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature
Lei Ni, Luen-Fai Tam
In this paper, we study global properties of continuous plurisubharmonic functions on complete noncompact Kähler manifolds with nonnegative bisectional curvature and their applicat…
The Lefschetz theorem for CR manifolds and the nonexistence of real analytic Levi flat submanifolds
Lei Ni, Jon Wolfson
We prove the Lefchetz theorem for CR submanifolds in Hermitian symmetric spaces. As an application we prove the nonexistence of real analytic Levi flat submanifolds in such manifol…