Bernstein theorems for length and area decreasing minimal maps

  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},
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. 
Graphical Mean Curvature Flow
  • A. Savas-Halilaj
  • Mathematics
    Nonlinear Analysis, Differential Equations, and Applications
  • 2021
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