3 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
The translating soliton of mean curvature flow
Y. L. Xin
We study some basic problems of translating solitons: the volume growth, generalized maximum principle, Gauss maps and certain functions related to the Gauss maps, finally we carry…
A spherical Bernstein theorem for minimal submanifolds of higher codimension
J. Jost, Y. L. Xin, Ling Yang
Combining the tools of geometric analysis with properties of Jordan angles and angle space distributions, we derive a spherical and a Euclidean Bernstein theorem for minimal subman…
The Rigidity Theorems of Self Shrinkers via Gauss maps
Qi Ding, Y. L. Xin, Ling Yang
We study the rigidity results for self-shrinkers in Euclidean space by restriction of the image under the Gauss map. The geometric properties of the target manifolds carry into eff…
The Gauss image of entire graphs of higher codimension and Bernstein type theorems
J. Jost, Y. L. Xin, Ling Yang
Under suitable conditions on the range of the Gauss map of a complete submanifold of Euclidean space with parallel mean curvature, we construct a strongly subharmonic function and…