The Surfaces with Constant Mean Curvature and Harmonic Maps
  
Key Words: Sinh Laplace equation   Sinh Gordon equation.  
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Author NameAffiliation
Wang Hong Dept. of Appl. Math.
Northwestern Polytechnical University
Xi′an 710072 
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Abstract:
      In this paper, we study the intimate relations between the surfaces of constant mean curvature and the harmonic maps to S2,H2 and S1.1(+1) by using the relations between the surfaces of constant mean curvature in Euclidean space R or Minkowski space R2.1 and Sinh Laplace as well as Sinh Gordon equations. We also offer a method for constructing the harmonic maps to S2,H2 and S1.1(+1).
Citation:
DOI:10.3770/j.issn:1000-341X.1997.01.023
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