Bonnet Surface with Parallel Mean Curvature Direction in R4(C)
Received:September 17, 2002  
Key Words: mean curvature   Bonnet surface   semi-geodesic isothermal parameter  
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Author NameAffiliation
ZHANG Yuan-zheng Dept. of Appl. Math.
Shanghai University of Finance and Economics
Shanghai
China 
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Abstract:
      In this paper, we study the Bonnet surfaces in the 4-dim space forms, which admit an isometric deformation preserving the mean curvature function. When the mean curvature direction is parallel, we first parameterize the Bonnet surfaces in R4(C) by semi-geodesic isothermal parameters, and then obtain a classification result which generalizes some work in [5] by W.H.Chen and H.Z.Li.
Citation:
DOI:10.3770/j.issn:1000-341X.2005.01.015
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