Soliton Solutions of the Mean Curvature Flow and Minimal Hypersurfaces

Norbert Hungerbühler

Departement für Mathematik, ETH Zürich, Zürich, Switzerland

Thomas Mettler

Department of Mathematics, University of California at Berkeley, Berkeley, CA, USA

Date: February 10, 2011

Published Version: Proc. Amer. Math. Soc. 140 (2012), 2117—2126

1 Introduction
2 Equivalence of the soliton and minimal hypersurface equation
2.1 Monge-Ampère systems
2.2 Minimal hypersurfaces via frames
2.3 \(\mathbf{X}\)-pseudo-soliton hypersurfaces via frames
2.4 The non-gradient case
2.5 The surface case
References