Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 500-509.

• Articles • Previous Articles     Next Articles

Bäcklund Transformation on Space-like Surfaces with H=1 in R2,1

 ZHOU Kou-Hua1, TIAN Chou2   

  1. 1.School of Mathematics Sciences, Yangzhou University, Jiangsu Yangzhou |225002;2.Department of Mathematics,\ University of Science and Technology of China, Hefei 230026
  • Received:2009-12-13 Revised:2011-09-25 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    国家自然科学基金(10571149)资助

Abstract:

In this paper, one generalizes the classical Bäcklund theorem on the surfaces with constant Gaussian curvature(CGC) K=-1in R3 to space-like surfaces with constant mean curvature(CMC) H=1 in R2,1 by using a line congruence. Further, one constructs a family of surfaces with constant mean curvature from a known one by Bäcklund transformation.

Key words: Bäcklund transformation, Space-like surface, Mean curvature

CLC Number: 

  • 53A10
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