等周不等式与Bol-Fujiwara定理

THE ISOPERIMETRIC INEQUALITY AND THE BOL-FUJIWARA THEOREM

本文研究著名的Bol-Fujiwara定理.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 investigate the known Bol-Fujiwara theorem. 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.