Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591710 | Journal of Functional Analysis | 2011 | 16 Pages |
Abstract
In this paper, we prove that the Lp essential spectra of the Laplacian on functions are [0,+∞) on a non-compact complete Riemannian manifold with non-negative Ricci curvature at infinity. The similar method applies to gradient shrinking Ricci soliton, which is similar to non-compact manifold with non-negative Ricci curvature in many ways.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory