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math.DG2024
Anisotropic mean curvature type flow and capillary Alexandrov-Fenchel inequalities
Shanwei Ding, Jinyu Gao, Guanghan Li
In this paper, an anisotropic volume-preserving mean curvature type flow for star-shaped anisotropic -capillary hypersurfaces in the half-space is studied, and the long-time e…
math.DG2024
Generalized Minkowski formulas and rigidity results for anisotropic capillary hypersurfaces
Jinyu Gao, Guanghan Li
In this paper, we obtain a new Hsiung-Minkowski integral formula for anisotropic capillary hypersurfaces in the half-space, which includes the weighted Hsiung-Minkowski formula and…