具有一个极点的完备非负Ricci曲率流形上Laplace算子的谱

The Spectrum of the Laplacian on Complete Riemannian Manifold with Nonnegative Ricci Curvature

在本文中,我们证明具有一个极点的完备非负Ricci曲率Riemann流形上Laplace算子的本质谱是(-∞,O)。

In this paper, we prove that the essenlial spectrum of the Laplaeian on complete Riemannian manifold with nonnegative Ricci curvature which possess a pole is(-∞,0]