| Rational Homotopy Theory and Nonnegative Curvature |
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| 引用本文： | Jian Zhong PAN Shao Bing WU. Rational Homotopy Theory and Nonnegative Curvature[J]. 数学学报(英文版), 2006, 22(1): 23-26. DOI: 10.1007/s10114-004-0466-4 |
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| 作者姓名： | Jian Zhong PAN Shao Bing WU |
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| 作者单位： | [1]Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100080, P. R. China [2]Department of Education, Suqian College, Suqian 223800, P. R. China |
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| 基金项目： | The first author is partially supported by the NSFC Projects 10071087, 19701032 |
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| 摘 要： | in this note, we answer positively a question by Belegradek and Kapovitch about the relation between rational homotopy theory and a problem in Riemannian geometry which asks that total spaces of which vector bundles over compact non-negative curved manifolds admit （complete） metrics with non-negative curvature.
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| 关 键 词： | 有理数同伦理论 非负曲率 黎曼几何 曲线流形 |
| 收稿时间： | 2003-01-08 |
| 修稿时间： | 2003-01-082003-07-31 |
Rational Homotopy Theory and Nonnegative Curvature |
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| Jian Zhong Pan,Shao Bing Wu. Rational Homotopy Theory and Nonnegative Curvature[J]. Acta Mathematica Sinica(English Series), 2006, 22(1): 23-26. DOI: 10.1007/s10114-004-0466-4 |
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| Authors: | Jian Zhong Pan Shao Bing Wu |
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| Affiliation: | (1) Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100080, P. R. China;(2) Department of Education, Suqian College, Suqian 223800, P. R. China |
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| Abstract: | In this note, we answer positively a question by Belegradek and Kapovitch about the relation between rational homotopy theory and a problem in Riemannian geometry which asks that total spaces of which vector bundles over compact non–negative curved manifolds admit (complete) metrics with non–negative curvature. The first author is partially supported by the NSFC Projects 10071087, 19701032 |
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| Keywords: | Curvature Derivation Homotopy equivalence |
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