论文标题
加权歧管的特征值估算
Eigenvalue estimates on weighted manifolds
论文作者
论文摘要
我们得出了作用于加权riemannian歧管上的差异形式的霍奇拉普拉斯的各种特征值估计值。我们的估计统一并扩展了文献的各种结果，我们提供了许多几何应用。特别是，我们得出了一种不等式，该不平等关系将雅各比操作员的特征值与（f） - 最小的高度曲面和霍奇·拉普拉斯（Hodge Laplacian）的光谱相关联。
We derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and we provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for (f)-minimal hypersurfaces and the spectrum of the Hodge Laplacian.
