R^(2,1)中具有常高斯曲率K=1类时曲面的Backlund变换

BACKLUND TRANSFORMATION ON TIME-LIKE SURFACES WITH K=1 IN R^(2,1)

通过类时线汇把经典 Backlund理论推广到三维 Minkowski空间 R2 ,1中具有常高斯曲率 K =1的类时曲面的情形 ,并且从已知的具有常高斯曲率 K =1的类时曲面出发 ,利用 Backlund变换构造了一个新的具有常高斯曲率 K=1的类时曲面 .

This paper generalizes the classical Backlund theorem on time like surfaces with constant Gaussian curvature (CGC) K=1 in R 2,1 to the surfaces with K=1 in R 2,1 by a time like line congruence, and shows how starting from a given K=1 surface to construct an entire hierarchy of new ones.