R^(2,1)中线性Weingarten曲面的Bcklund变换(英文)

Bcklund Transformations of Linear Weingarten Surfaces in R2,1

本文对三维Minkowski空间R^(2,1)中具有性质K-2mH+m^2-l^2=0或H=constant的类时曲面定义了一个Darboux线汇,同时得到了相应的Bcklund变换。

In this paper, we define a Darboux line congruence about the time-like surfaces, and obtain corresponding Backlund transformation on time-like surfaces with condition K - 2mH + m2 -l2 = 0 or H = constant in R2,1.