论文标题
Laplacian在Kähler歧管上的第一个特征值的下限
Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds
论文作者
论文摘要
我们在封闭的kähler歧管上建立了laplacian的第一个非零特征值，其尺寸，直径和下限的圆形截面曲率和正交RICCI曲率的下限。在紧凑的Kähler歧管上，我们证明了第一个非零neumann或Dirichlet特征值在几何数据方面的下限。我们的结果是Riemannian歧管的众所周知结果的Kähler类似物。
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 curvature and orthogonal Ricci curvature. On compact Kähler manifolds with boundary, we prove lower bounds for the first nonzero Neumann or Dirichlet eigenvalue in terms of geometric data. Our results are Kähler analogues of well-known results for Riemannian manifolds.
