Existence of minimal hypersurfaces in complete manifolds of finite volume
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact) minimal hypersurface of finite volume. The main tool is the following result of independent interest: if a region U can be swept out by a family of hypersurfaces of volume at most V, then it can be s...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg,
2020-11-30T15:58:14Z.
|
| Subjects: | |
| Online Access: | Get fulltext |