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| 截面体与凸体的包含测度 | |
| 引用本文： | 熊革,李德宜,郑绿州.截面体与凸体的包含测度[J].数学杂志,2003,23(1):6-10. |
| 作者姓名： | 熊革 李德宜 郑绿州 |
| 作者单位： | 1. 武汉大学数学与统计学院,武汉,430072 2. 武汉科技大学应用数学系,武汉,430081 3. 湖北师范学院数学系,黄石,435000 |
| 摘 要： | 本文建立了E^n中的凸体与其位似体的包含测度的相等关系，同时给出了凸体Minkowski和的包含测度的估计。最后证明了E^3中的关于原点对称的旋转椭球与其截面体相似的充要条件是K为以原点为心的球。 |
| 关 键 词： | 截面体 凸体 包含测度 |
INTERSECTION BODIES AND INCLUSION MEASURES OF CONVEX BODIES |
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| XIONG Ge LI De-yi ZHONG Lu-zhou.INTERSECTION BODIES AND INCLUSION MEASURES OF CONVEX BODIES[J].Journal of Mathematics,2003,23(1):6-10. | |
| Authors: | XIONG Ge LI De-yi ZHONG Lu-zhou |
| Abstract: | In this paper, we establish the equality relation of inclusion measures of convex bodies and their homothetic bodies in En. We also give the estimation of inclusion measures of convex bodies. Finally it shows that an ellipsoid of revolution in E9 is similar to its intersection body if and only if K is a centered ball. |
| Keywords: | convexbody inclusion measure intersection body |
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