R^(2,1)中类空曲面H=1上的Bcklund变换

Bcklund Transformation on Space-like Surfaces with H = 1 in R^(2,1)

考虑通过线汇将三维欧氏空间R3中具有常高斯曲率(K=-1)曲面的古典Bcklund理论推广到三维Minkowski空间R^(2,1)中具有常平均曲率(H=1)的类空曲面中去,进一步,作者利用所得Bcklund变换由一个已知的常平均曲率类空曲面去构造一系列新的曲面.

In this paper, one generalizes the classical Backlund theorem on the surfaces with constant Gaussian curvature（CGC） K = -1 in R3 to space-like surfaces with constant mean curvature（CMC） H = 1 in R2,1 by using a line congruence. Further, one constructs a family of surfaces with constant mean curvature from a known one by Backlund transformation.