8 papers · 1 filter
The rigidity theorems for complete self-expander of mean curvature flow
Zhi Li, Guoxin Wei
Our first main result is a rigidity theorem for complete self-expanders in the Euclidean space with higher codimension, assuming an integral cur More precisely, any smooth complete…
Homogeneous hypersurfaces of the four-dimensional Thurston geometry
Marie D'haene, Guoxin Wei, Zeke Yao +1
In this paper, we classify hypersurfaces with constant principal curvatures in the four-dimensional Thurston geometry under certain geometric conditions. As an appl…
Embedded constant mean curvature hypertori in the -sphere
Junqi Lai, Guoxin Wei
Brendle proved Lawson conjecture about minimal embedded torus in the round three-dimensional sphere. Carlotto and Schulz constructed a minimal embedded three-dimensional hypertorus…
The rigidity theorem for complete Lagrangian self-shrinkers
Zhi Li, Ruixin Wang, Guoxin Wei
In this paper, we obtain a rigidity result of -dimensional complete lagrangian self-shrinkers with constant squared norm of the mean curvature vector in the Eucl…
Classification of Lagrangian translators and Lagrangian self-expanders in
Zhi Li, Guoxin Wei
In this paper, we obtain several classification results of -dimensional complete Lagrangian translators and lagrangian self-expanders with constant squared norm …
Complete space-like self-expanders in the Minkovski space
Zhi Li, Guoxin Wei
It is our purpose to study complete space-like self-expanders in the Minkovski space. By use of maximum principle of Omori-Yau type, we can obtain the rigidity theorems on -dime…
A rigidity theorem of self-expander
Zhi Li, Guoxin Wei
In this paper, we completely classify -dimensional complete self-expanders with constant norm of the second fundamental form and constant in Euclidean space $\mathbb…
Complete lagrangian self-expanders in
Zhi Li, Guoxin Wei
In this paper, we obtain a classification theorem of -dimensional complete Lagrangian self-expanders with constant squared norm of the second fundamental form in …