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math.DG2023
Strong Rigidity of Closed Minimal Hypersurfaces in Euclidean Spheres
Xu Han
Let M be a closed embedded minimal hypersurface in a Euclidean sphere of dimension n+1, we prove that it is strongly rigid. As applications we confirm the conjecture proposed by Ch…
math.DG2022
Translation surfaces in Lie groups with constant Gaussian curvature
Xu Han, Zhonghua Hou
Let G be a n-dimensional Lie group (n>2) with a bi-invariant Riemannian metric. We prove that if a surface of constant Gaussian curvature in G can be expressed as the product of tw…
math.DG2022
Mean curvature flow solitons from symmetry group viewpoint
Xu Han, Zhonghua Hou
The symmetry group of the mean curvature flow in general ambient Riemannian manifolds is determined, based on which we define generalized solitons to the mean curvature flow. We al…