论文标题
blaschke-santaló型不平等和空间形式的Quermassintegral不平等现象
Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms
论文作者
论文摘要
在本文中，我们证明了一个封闭式和严格凸出的曲面和双曲线/de安慰剂空间的身份家族。作为应用程序，我们证明了球体和双曲线/de Sitter空间中的Blaschke-Santaló型不等式，该空间概括了Gao，Hug和Schneider \ Cite \ Cite {GHS03}的先前工作。我们还证明了双曲线/DE保持空间中的QuermassIntegral不平等现象。
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.
