Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (3): 369-.

• Articles • Previous Articles     Next Articles

B¨ACKLUND TRANSFORMATION ON SURFACES WITH CONSTANT MEAN CURVATURE IN R

 TIAN Chou, ZHOU Kou-Hua, TIAN Chong-Bei   

  1. 1.Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
    2.Department of Mathematics, Yangzhou University, Yangzhou, Jiangsu 225002, China
  • Online:2003-07-14 Published:2003-07-14
  • Supported by:

    This work is supported by the NNSF (19971084, 10101025 and 10231050) of China

Abstract:

In this paper, the authors obtain the B¨acklund transformation on time-like
surfaces with constant mean curvature in R2,1. Using this transformation, families of
surfaces with constant mean curvature from known ones can be constructed.

Key words: B¨acklund transformation, principal curvature, mean curvature

CLC Number: 

  • 53A10
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