# Bernstein theorems for length and area decreasing minimal maps

@article{SavasHalilaj2014BernsteinTF,
title={Bernstein theorems for length and area decreasing minimal maps},
author={Andreas Savas-Halilaj and Knut Smoczyk},
journal={Calculus of Variations and Partial Differential Equations},
year={2014},
volume={50},
pages={549-577}
}
• Published 1 July 2014
• Mathematics
• Calculus of Variations and Partial Differential Equations
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.
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