Chinese Quarterly Journal of Mathematics ›› 1995, Vol. 10 ›› Issue (2): 29-32.

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

  

  1. Department      of     Mathematics,Tianjin     University,Tianjin      300072,P.R.China;Henan      University
  • Received:1994-03-27 Online:1995-06-30 Published:2025-03-19

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

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