Alexandrov-Fenchel type inequalities in the sphere

Abstract

In this paper, we attempt to use two types of flows to study the relations between quermassintegrals ${\mathcal{A}}_k$ (see Definition 1.1), which correspond to the Alexandrov-Fenchel inequalities for closed convex $C^2$-hypersurfaces in ${\mathbb{S}}_{+}^{n+1}.$

References in corpus (1)

• A geometric inequality on hypersurface in hyperbolic space

Cited by in corpus (1)

• A fully-nonlinear flow and quermassintegral inequalities in the sphere