| Curvature Estimates for Irreducible Symmetric Spaces |
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| 引用本文： | Xusheng LIU. Curvature Estimates for Irreducible Symmetric Spaces[J]. 数学年刊B辑(英文版), 2006, 27(3): 287-302. DOI: 10.1007/s11401-004-0495-4 |
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| 作者姓名： | Xusheng LIU |
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| 作者单位： | Xusheng LIU School of Mathematical Sciences，Fudan University，Shanghai 200433，China. |
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| 摘 要： | By making use of the classification of real simple Lie algebra, we get the maximum of the squared length of restricted roots case by case, and thus get the upper bounds of sectional curvature for irreducible Riemannian symmetric spaces of compact type. As an application, this paper verifies Sampson's conjecture in most cases for irreducible Riemannian symmetric spaces of noncompact type.
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| 关 键 词： | 相称性空间 谐波图 代数学 黎曼几何 |
| 收稿时间： | 2004-11-30 |
| 修稿时间： | 2009-05-05 |
Curvature Estimates for Irreducible Symmetric Spaces |
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| Xusheng LIU. Curvature Estimates for Irreducible Symmetric Spaces[J]. Chinese Annals of Mathematics,Series B, 2006, 27(3): 287-302. DOI: 10.1007/s11401-004-0495-4 |
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| Authors: | Xusheng LIU |
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| Affiliation: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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| Abstract: | By making use of the classification of real simple Lie algebra, we get the maximum of the squared length of restricted roots case by case, and thus get the upper bounds of sectional curvature for irreducible Riemannian symmetric spaces of compact type. As an application, this paper verifies Sampson's conjecture in most cases for irreducible Riemannian symmetric spaces of noncompact type. |
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| Keywords: | Symmetric space Semi-simple Lie algebra Harmonic map |
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