| Abstract: |
| In this talk we prove a Heintze-Karcher type inequality and a Minkowski type formula for capillary hypersurfaces in hyperbolic space with boundary supported on general totally umbilical hypersurfaces. As an application, we prove an Alexandrov-type theorem for capillary hypersurfaces with constant kth mean curvature supported on totally umbilical hypersurfaces in hyperbolic space. |
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