| 投影体与U(P)的极值性质 |
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| 引用本文： | 张珺,何斌吾.投影体与U(P)的极值性质[J].应用数学与计算数学学报,2007,21(1):17-26. |
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| 作者姓名： | 张珺 何斌吾 |
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| 作者单位： | 上海大学数学系,上海,200444 |
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| 基金项目： | 国家自然科学基金;上海市教委资助项目 |
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| 摘 要： | 为了研究著名的Schneider投影问题,E.Lutwak,D.Yang和张高勇最近引进了一个关于对称多胞形的新的仿射不变量U(P),并提出了关于U(P)下界的猜想.本文就二维、三维在一特定条件下的情形给予了此猜想的肯定回答并给出了严格的数学证明.
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| 关 键 词： | 凸体 投影体 Schneider投影问题 支撑函数 |
| 修稿时间： | 2005-09-21 |
The Projection Bodies and the Extremum Properties of U(P) |
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| Zhang Jun,He Binwu.The Projection Bodies and the Extremum Properties of U(P)[J].Communication on Applied Mathematics and Computation,2007,21(1):17-26. |
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| Authors: | Zhang Jun He Binwu |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | To study the well-known Schneider's projection problem,in 2001,E. Lutwak,D.Yang and G.Zhang introduced a new affine invariant functional for convex polytopes in R~n.For origin-symmetric convex polytopes,they posed a problem for the new functional.The author given affirmative answers to the conjecture in R~2 and R~3. |
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| Keywords: | convex body projection body Schneider's projection problem support function |
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