关于质心体和投影体的等周不等式

Isoperimetric Inequalities for Centroid Bodies and Projection Bodies

等周不等式是凸几何等相关学科极其重要的结论,关于等周不等式的研究很多都是关于其平面情形,建立了关于质心体ΓK和截面体IK的等周不等式.

Isopefimetric inequality is a very important result in convex geometry and its related topics, there are a lot of researchs focusing on it since it plays a key role in convex geometric analysis. In this paper, the isopefimetric inequalities for centroid bodies, intersection bodies and p-projection bodies are established.