| 关于质心体和投影体的等周不等式 |
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| 引用本文： | 朱保成,李妮.关于质心体和投影体的等周不等式[J].湖北民族学院学报(哲学社会科学版),2009,27(1). |
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| 作者姓名： | 朱保成 李妮 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆,400047
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| 摘 要： | 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TK和截面体IK的等周不等式.
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| 关 键 词： | 凸体 Minkowski不等式 等周不等式 质心体 投影体 |
Isoperimetric Inequalities for Centroid Bodies and Projection Bodies |
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| ZHU Bao-cheng,LI Ni.Isoperimetric Inequalities for Centroid Bodies and Projection Bodies[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2009,27(1). |
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| Authors: | ZHU Bao-cheng LI Ni |
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| Institution: | College of Mathmematics and Computer Science;Chongqing Normal University;Chongqing 400047;China |
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| Abstract: | Isoperimetric 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 isoperimetric inequalities for centroid bodies,intersection bodies and p-projection bodies are established. |
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| Keywords: | convex body Minkowski inequality isoperimetric inequality centroid body projection body |
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