3 papers
math.DG2026
Hopf type theorem for surfaces of constant weighted mean curvature in Riemannian manifolds
Jiaming Chen, Shanze Gao
We consider compact immersed surfaces of genus zero in a three-dimensional smooth metric measure space \((M^3,g,e^{-f}\mathrm{d}V_{g})\). We introduce a new weighted mean curvature…
math.DG2025
Convex spacelike hypersurface of constant curvature with boundary on a hyperboloid
Shanze Gao
We consider convex, spacelike hypersurfaces with boundaries on some hyperboloid (or lightcone) in the Minkowski space. If the hypersurface has constant higher order mean curvature,…
math.DG2024
Rigidity of spacelike hypersurface with constant curvature and intersection angle condition
Shanze Gao
In the Minkowski space, we consider a compact, spacelike hypersurface with boundary, which can be written as a graph on a spacelike hyperplane. We prove that, if its -th mean cu…