Geometric inequalities for static convex domains in hyperbolic space
Yingxiang Hu, Haizhong Li
Abstract
We prove that the static convexity is preserved along two kinds of locally constrained curvature flows in hyperbolic space. Using the static convexity of the flow hypersurfaces, we prove new family of geometric inequalities for such hypersurfaces in hyperbolic space.
Topics & Concepts
Regular polygonHyperbolic spaceSpace (punctuation)InequalityMathematicsConvex setMathematical analysisPure mathematicsGeometryComputer scienceConvex optimizationOperating systemGeometric Analysis and Curvature FlowsPoint processes and geometric inequalitiesAnalytic and geometric function theory