Some Remarks on the Existence of the Cusp Metric on R^3

Some Remarks on the Existence of the Cusp Metric on R^3

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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. 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.

作者徐海峰

机构地区 School of Mathematical Science

出处《Northeastern Mathematical Journal》 CSCD 2008年第6期503-510,共8页 东北数学（英文版）

基金 Partially supported by NSFC (10671171) Grant

关键词 rotationally symmetric cusp metric sectional curvature Ricci curvature scalar curvature rotationally symmetric cusp metric, sectional curvature, Ricci curvature, scalar curvature

分类号 O186.1 [理学—基础数学]

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Northeastern Mathematical Journal

2008年第6期

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Some Remarks on the Existence of the Cusp Metric on R^3

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