Isoperimetric inequality

The Isoperimetric Inequality and the bol-fujiwara theorem

等周不等式与Bol-Fujiwara定理

The Isoperimetric Inequality on Some Special Surfaces

一些特殊曲面上的等周不等式

On the Isoperimetric Inequality for Compact Convex Surface in R ~ 3

R~3中紧致凸曲面的等周不等式

Regional Isoperimetric Inequality for Sphere and Ellipsoid

球面与椭球面上区域的等周不等式

We obtain a generalized Bol-Fujiwara theorem ( Theorem 1 ) and the reverse theorem ( Theorem 2 ) of the generalized Bol-Fujiwara theorem by method of integral geometry and the classical isoperimetric inequality .

利用积分几何方法和经典的等周不等式，得到了Bol-Fujiwara定理的一个推广（定理1），以及推广了的Bol-Fujiwara定理的逆定理（定理2）。

In this paper , we prove that the C-C balls are not isoperimetric sets on the one-dimensional Heisenberg group H ~ 1.Under the hypothesis that there were isoperimetric sets in the class A , we obtain the best constant in the isoperimetric inequality .

证明了在一维Heisenberg群H1上C-C球不是等周集；同时在A类集中有等周集的假设前提下，给出了Heisenberg群H1上等周不等式的最佳常数。