10 citations · 25 across the 4 of their papers we have counts for
8 papers · 1 filter
Eigenvalue Estimates on quaternion-Kähler Manifolds
Xiaolong Li, Kui Wang
We prove lower bound for the first closed or Neumann nonzero eigenvalue of the Laplacian on a compact quaternion-Kähler manifold in terms of dimension, diameter, and scalar curvatu…
Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds
Xiaolong Li, Kui Wang
We establish lower bound for the first nonzero eigenvalue of the Laplacian on a closed Kähler manifold in terms of dimension, diameter, and lower bounds of holomorphic sectional cu…
On a class of quasilinear operators on smooth metric measure spaces
Xiaolong Li, Yucheng Tu, Kui Wang
We derive sharp estimates on the modulus of continuity for solutions of a large class of quasilinear isotropic parabolic equations on smooth metric measure spaces (with Dirichlet o…
An upper bound for the first nonzero Steklov eigenvalue
Xiaolong Li, Kui Wang, Haotian Wu
Let be a complete simply connected -dimensional Riemannian manifold with curvature bounds for and $\operatorname{Ric}_g\geq(n-1…
On the second Robin eigenvalue of the Laplacian
Xiaolong Li, Kui Wang, Haotian Wu
We study the Robin eigenvalue problem for the Laplace-Beltrami operator on Riemannian manifolds. Our first result is a comparison theorem for the second Robin eigenvalue on geodesi…
Kähler-Ricci Shrinkers and Ancient Solutions with Nonnegative Orthogonal Bisectional Curvature
Xiaolong Li, Lei Ni
In this paper we prove classification results for gradient shrinking Ricci solitons under two invariant conditions, namely nonnegative orthogonal bisectional curvature and weakly P…