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: | Chambers, Gregory R, Liokumovich, Yevgeniy |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Springer Berlin Heidelberg
2020
|
Online Access: | https://hdl.handle.net/1721.1/128678 |
Similar Items
-
Hypersurfaces of a Sasakian Manifold
by: Haila Alodan, et al.
Published: (2020-06-01) -
Complete CSC Hypersurfaces Satisfying an Okumura-Type Inequality in Ricci Symmetric Manifolds
by: Xun Xie, et al.
Published: (2021-11-01) -
Lightlike Hypersurfaces of Meta-Golden Semi-Riemannian Manifolds
by: Feyza Esra Erdoğan, et al.
Published: (2023-11-01) -
Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds
by: Ömer Aksu, et al.
Published: (2022-12-01) -
A geometric flow on null hypersurfaces of Lorentzian manifolds
by: Massamba Fortuné, et al.
Published: (2022-12-01)