| 等周不等式与Bol-Fujiwara定理 |
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| 引用本文： | 何刚. 等周不等式与Bol-Fujiwara定理[J]. 数学杂志, 2006, 26(3): 309-311 |
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| 作者姓名： | 何刚 |
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| 作者单位： | 遵义师范学院数学系,贵州遵义,563002 |
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| 基金项目： | 贵州科技人才省长重点基金资助项目 |
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| 摘 要： | 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).
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| 关 键 词： | 域 等周不等式 凸集 测度 曲率 |
| 文章编号： | 0255-7797（2006）03-0309-03 |
| 收稿时间： | 2004-10-01 |
| 修稿时间： | 2004-10-01 |
THE ISOPERIMETRIC INEQUALITY AND THE BOL-FUJIWARA THEOREM |
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| HE Gang. THE ISOPERIMETRIC INEQUALITY AND THE BOL-FUJIWARA THEOREM[J]. Journal of Mathematics, 2006, 26(3): 309-311 |
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| Authors: | HE Gang |
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| Affiliation: | Dept. of Math. , Zunyi Normal College, Zunyi 563002, China |
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| Abstract: | 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. |
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| Keywords: | domain isoperimetric inequality convex set measure curvature |
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