Bernstein theorems for length and area decreasing minimal maps

authored by

Andreas Savas-Halilaj, Knut Smoczyk

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.

Organisation(s)

Institut für Differentialgeometrie
Riemann Center for Geometry and Physics

Type

Artikel

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

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Analysis, Angewandte Mathematik

Electronic version(s)

https://doi.org/10.1007/s00526-013-0646-0 (Access: Geschlossen)