| 紧致黎曼流形上的Yamabe soliton |
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| 引用本文： | 马冰清,姚素霞. 紧致黎曼流形上的Yamabe soliton[J]. 河南师范大学学报(自然科学版), 2012, 40(6): 12-13 |
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| 作者姓名： | 马冰清 姚素霞 |
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| 作者单位： | 河南师范大学数学与信息科学学院,河南新乡,453007 |
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| 摘 要： | 设(M,g)是n维黎曼流形,n≥3.考虑(M,g)上的Yamabe soliton:(R-ρ)g=1/2LXg,其中R是数量曲率,X∈X(M)是光滑向量场,是实常数.证明了:如果流形是紧致的,则数量曲率R是常数.
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| 关 键 词： | Yamabe soliton Yamabe流 常数量曲率 |
Yamabe Solitons on Compact Riemannian Manifolds |
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| MA Bing-qing , YAO Su-xia. Yamabe Solitons on Compact Riemannian Manifolds[J]. Journal of Henan Normal University(Natural Science), 2012, 40(6): 12-13 |
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| Authors: | MA Bing-qing YAO Su-xia |
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| Affiliation: | (College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China) |
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| Abstract: | Let(M,g) be an n-dimensional Riemannian manifold,n≥3.The following Yamabe soliton on(M,g) is studied:(R-ρ)g=1/2LXg,where R is the scalar cuvature,X∈X(M) denotes a smooth vector field on M and ρ is a real constant.It is shown that if the manifold is compact,the scalar R is a constant. |
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| Keywords: | Yamabe soliton Yamabe flow constant scalar curvatur |
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