Publications at the Riemann Center
Bernstein theorems for length and area decreasing minimal maps
Abstract
In this article we prove Liouville and Bernstein theorems in higher codimension for length and area decreasing maps between two Riemannian manifolds. The proofs are based on a strong elliptic maximum principle for sections in vector bundles, which we also present in this article.
Details
- Organisation(s)
-
Institute of Differential Geometry
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Calculus of Variations and Partial Differential Equations
- Volume
- 50
- Pages
- 549-577
- No. of pages
- 29
- ISSN
- 0944-2669
- Publication date
- 06.2014
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Analysis, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.1007/s00526-013-0646-0 (Access:
Closed
)
