Rigidity of entire self-shrinking solutions to curvature flows

By Albert Chau, Jingyi Chen, Yu Yuan. 2010

53 citations recorded by the source corpus.

Abstract We show (a) that any entire graphic self-shrinking solution to the Lagrangian mean curvature flow in ℂn with the Euclidean metric is flat; (b) that any space-like entire graphic self-shrinking solution to the Lagrangian mean curvature flow in ℂn 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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/adaa337407e74745ec3e357f72778240e1107be9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Weiyong He
2. Albert Chau
3. Jingyi Chen
4. Valentino Tosatti
5. Xiuxiong Chen
6. Knut Smoczyk

In Astronomy and Astrophysics

1. Weiyong He
2. Albert Chau
3. Jingyi Chen

In Geometry and Topology

1. Weiyong He
2. Albert Chau
3. Jingyi Chen
4. Valentino Tosatti
5. Xiuxiong Chen
6. Knut Smoczyk

Citations in the corpus

• Lagrangian mean curvature flow for entire Lipschitz graphs (2009, methodology): “We also refer to [ 3 ]a nd [12] for new developments in this direction using completely different methods.”