Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893702 | Journal of Geometry and Physics | 2007 | 12 Pages |
Abstract
In the present paper, we describe the conformal immersion of the surface into R4 by means of a linear system. Furthermore we prove that every regular conformal immersion of a surface into R4 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jianhua Chen, Weihuan Chen,