R_1~2中aK+bH=c型Weingarten曲面

On Spacelike Weingarten Surfaces in R_1~2

讨论了R21中满足条件aK+bH=c型的Weingarten曲面的可积条件,并给出了R21中满足K=2mH+n,(m2+n<0)的类空曲面的Backlund定理.

In the paper we talk about the integrabitity condition of Weingarten surface which satisfies with aK+bH=c in R^2_1 and obtain a; Backlund transformation theorem of spacetime in R^2_1.