Abstract
In this paper, we continued our investigation of complete manifolds whose spectrum of the Laplacian has an optimal positive lower bound. In particular, we proved a splitting type theorem for n-dimensional manifolds that have a finite volume end. This can be viewed as a study of the equality case of a theorem of Cheng.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 143-162 |
| Number of pages | 20 |
| Journal | Journal of Differential Geometry |
| Volume | 62 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2002 |