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关于R3上Cusp度量存在性的注记
引用本文:徐海峰. 关于R3上Cusp度量存在性的注记[J]. 东北数学, 2008, 24(6): 503-510
作者姓名:徐海峰
作者单位: 
摘    要:In this paper, we show that there exists no complete rotationally symmetric cusp metric on R^3. Also we consider the existence of the complete rotationally symmetric cusp metric with other situations.

关 键 词:公制  旋转对称  微分几何  计算方法

Some Remarks on the Existence of the Cusp Metric on R3.
XU Hai-feng. Some Remarks on the Existence of the Cusp Metric on R3.[J]. Northeastern Mathematical Journal, 2008, 24(6): 503-510
Authors:XU Hai-feng
Affiliation:School of Mathematical Science, Yangzhou University, Yangzhou, Jiangsu, 225009
Abstract:In this paper, we show that there exists no complete rotationally symmet-ric cusp metric on R3. Also we consider the existence of the complete rotationally symmetric cusp metric with other situations.
Keywords:rotationally symmetric cusp metric  sectional curvature  Ricci curva-ture  scalar curvature
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