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| Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces | |
| 引用本文： | Ling YANG~* *School of Mathematical Sciences,Fudan University,Shanghai 200433,China.. Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces[J]. 数学年刊B辑(英文版), 2007, 28(6): 685-700. DOI: 10.1007/s11401-006-0400-4 |
| 作者姓名： | Ling YANG~* *School of Mathematical Sciences Fudan University Shanghai 200433 China. |
| 作者单位： | Ling YANG~* *School of Mathematical Sciences，Fudan University，Shanghai 200433，China. |
| 摘 要： | The author explores the relationship between the cut locus of an arbitrary simply connected and compact Riemannian symmetric space and the Cartan polyhedron of corresponding restricted root system,and computes the injectivity radius and diameter for every type of irreducible ones. |
| 关 键 词： | 嘉当多面体 有限根系统 正角代数学 解题方法 |
| 收稿时间： | 2006-09-21 |
Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces* |
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| Ling Yang. Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces*[J]. Chinese Annals of Mathematics,Series B, 2007, 28(6): 685-700. DOI: 10.1007/s11401-006-0400-4 | |
| Authors: | Ling Yang |
| Affiliation: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
| Abstract: | The author explores the relationship between the cut locus of an arbitrary simply connected and compact Riemannian symmetric space and the Cartan polyhedron of corresponding restricted root system,and computes the injectivity radius and diameter for every type of irreducible ones. |
| Keywords: | Cartan polyhedron Restricted root system Orthogonal involutiveLie algebra Dynkin diagram Stake diagram |
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