数学进展
數學進展
수학진전
ADVANCES IN MATHEMATICS
2004年
2期
174-182
,共9页
类时曲面%Weingarten曲面%线汇%Backlund变换
類時麯麵%Weingarten麯麵%線彙%Backlund變換
류시곡면%Weingarten곡면%선회%Backlund변환
time-like surface%Weingarten surface%line congruence%B(a)cklund transformation
本文对三维Minkowski空间R2,1中具有性质K-2mH+m2-l2=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B(a)cklund变换.
本文對三維Minkowski空間R2,1中具有性質K-2mH+m2-l2=0或H=constant的類時麯麵定義瞭一箇Darboux線彙,同時得到瞭相應的B(a)cklund變換.
본문대삼유Minkowski공간R2,1중구유성질K-2mH+m2-l2=0혹H=constant적류시곡면정의료일개Darboux선회,동시득도료상응적B(a)cklund변환.
In this paper, we define a Darboux line congruence about the time-like surfaces, and obtain corresponding B(a)cklund transformation on time-like surfaces with condition K - 2mH + m2-l2 = 0 or H = constant in R2.1.