The rigidity theorems of self-shrinkers

By Qi Ding, Y. Xin. 2011

100 citations recorded by the source corpus.

By using certain idea developed in minimal submanifold theory we study rigidity problem for self-shrinkers in the present paper. We prove rigidity results for squared norm of the second fundamental form of self-shrinkers, either under point-wise conditions or under integral conditions.

Subfields: Applied Mathematics, Geometry and Topology, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/2e3696de1bb515ca8e97a0e5bcb42cbf9e1d0859

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. Yejuan Peng
2. Qing Cheng
3. Hongcang Yang

In Geometry and Topology

1. Yejuan Peng
2. Qing Cheng

In Mechanical Engineering

1. Qing Cheng

Citations in the corpus

• Complete self-shrinkers of the mean curvature flow (2012, background): “In [12], Ding and Xin have proved that a two dimensional complete proper self-shrinker in R(3) is a plane, a sphere or a cylinder.”