Generalized Weierstrass representation of surfaces in R-4

作者：Chen Jianhua^*; Chen Weihuan

来源：Journal of Geometry and Physics, 2007, 57(2): 367-378.

DOI：10.1016/j.geomphys.2006.02.013

• surface
• conformal immersion
• Weierstrass representation

In the present paper, we describe the conformal immersion of the surface into R-4 by means of a linear system. Furthermore we prove that every regular conformal immersion of a surface into R-4 is locally determined by the generalized Weierstrass formulae. We also give the representation of the surface with parallel mean curvature vector by solutions with the parameter of a linear system which is determined by the sinh-Laplace equation.

• 出版日期2007-1
• 单位中国人民解放军装甲兵工程学院