A Heintze–Karcher Type Inequality in Hyperbolic Space
摘要
In this paper, we prove a new Heintze–Karcher type inequality for shifted mean convex hypersurfaces in hyperbolic space. As applications, we prove an Alexandrov-type theorem for closed embedded hypersurfaces with constant shifted kth mean curvature in hyperbolic space. Furthermore, two uniqueness results for certain curvature equations are also obtained.