Some Examples of Metrics with Positive Curvature and Negative Curvature on Rn

数学季刊 ›› 1995, Vol. 10 ›› Issue (2): 29-32.

Some Examples of Metrics with Positive Curvature and Negative Curvature on Rⁿ

Department of Mathematics,Tianjin University,Tianjin 300072,P.R.China；Henan University

收稿日期:1994-03-27 出版日期:1995-06-30 发布日期:2025-03-19

Some Examples of Metrics with Positive Curvature and Negative Curvature on Rⁿ

Department of Mathematics,Tianjin University,Tianjin 300072,P.R.China；Henan University

Received:1994-03-27 Online:1995-06-30 Published:2025-03-19

摘要/Abstract

摘要： From the class of conformally flat metric of g=f(lxl²)δ,defined on R",where f:[0,0]→(0,0)is a C²function,we find one class of metrics with positive curvature and two classes of complete metrics with negative curvature.

关键词: complete metrics, positive and negative curvature, noncompact manifold

Abstract: From the class of conformally flat metric of g=f(lxl²)δ,defined on R",where f:[0,0]→(0,0)is a C²function,we find one class of metrics with positive curvature and two classes of complete metrics with negative curvature.

Key words: complete metrics, positive and negative curvature, noncompact manifold

中图分类号:

O186

朱大新, 侯文华, 宋清芳. Some Examples of Metrics with Positive Curvature and Negative Curvature on Rⁿ[J]. 数学季刊, 1995, 10(2): 29-32.

Zhu Daxin, Hou Wenhua, Song Qingfang. Some Examples of Metrics with Positive Curvature and Negative Curvature on Rⁿ[J]. Chinese Quarterly Journal of Mathematics, 1995, 10(2): 29-32.

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Some Examples of Metrics with Positive Curvature and Negative Curvature on Rⁿ

Some Examples of Metrics with Positive Curvature and Negative Curvature on Rⁿ

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