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Bibliographic Details
Main Authors: Hu, Yingxiang, Li, Haizhong
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2207.04281
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Table of Contents:
  • 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.