| 关于Ricci对称的黎曼流形的孤立性 |
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| 引用本文： | 蔡开仁. 关于Ricci对称的黎曼流形的孤立性[J]. 绍兴文理学院学报, 2003, 23(7): 10-12 |
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| 作者姓名： | 蔡开仁 |
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| 作者单位： | 杭州师范学院数学系,杭州,310036 |
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| 摘 要： | 使用P.Li的Sobolev不等式和Lp估计方法，研究Ricci对称的黎曼流形的量子化现象．证明了对于紧致的具有正数量曲率的Ricci对称的黎曼流形M，存在一个常数A，当M的保圆曲率张量的La/2模小于A时，M为常曲率空间．
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| 关 键 词： | 黎曼流形 孤立性 Ricci对称 量子化 Sobolev不等式 Lp估计方法 保圆曲率张量 微分几何 |
| 文章编号： | 1008-293X(2003)07-0010-03 |
| 修稿时间： | 2002-12-12 |
On the Isolation Phenomena of Riemannian Manifold with Ricci Symmetry |
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| Cai Kairen. On the Isolation Phenomena of Riemannian Manifold with Ricci Symmetry[J]. Journal of Shaoxing College of Arts and Sciences, 2003, 23(7): 10-12 |
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| Authors: | Cai Kairen |
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| Abstract: | By using the Sobolev inequalities of P. Li and L p estimate, we stuav the isolation phenomena of the compact Riemannian manifold M with the symmetric Ricci curvature tensor and the ositive scarlar curvature. It is shown that there is a constant A and that if n/2< A, where D is the concircular curvature tensor, then M is a constantsectional curvature space. |
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| Keywords: | Sobolev constant Ricci symmetry concircular curvature tensor |
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