Rigidity of entire self-shrinking solutions to curvature flows

Albert Chau, Jingyi Chen, Yu Yuan
2012 Journal für die Reine und Angewandte Mathematik  
We show (a) that any entire graphic self-shrinking solution to the Lagrangian mean curvature flow in C n with the Euclidean metric is flat; (b) that any space-like entire graphic self-shrinking solution to the Lagrangian mean curvature flow in C n with the pseudo-Euclidean metric is flat if the Hessian of the potential is bounded below quadratically; and (c) the Hermitian counterpart of (b) for the Kähler Ricci flow.
doi:10.1515/crelle.2011.102 fatcat:xfvl23rqn5etlp6cyz3devkwvm