Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms
arXiv:2207.04281 · doi:10.1016/j.aim.2022.108826
Abstract
In this paper, we prove a family of identities for closed and strictly convex hypersurfaces in the sphere and hyperbolic/de Sitter space. As applications, we prove Blaschke-Santaló type inequalities in the sphere and hyperbolic/de Sitter space, which generalizes the previous work of Gao, Hug and Schneider \cite{GHS03}. We also prove the quermassintegral inequalities in hyperbolic/de Sitter space.
23 pages, no figures. All comments are appreciated