关于Sinh-laplace方程的解  

About a Solution of the Sinh-Laplace Equation

作　　者：杨琴[1] 张锦涛[1] 张为贤[1] 

机构地区：[1]江苏泰州师范高等专科学校数理系,江苏泰州225300

出　　处：《湖北民族学院学报（自然科学版）》2011年第2期149-151,共3页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：熟知Sinh-laplace方程的解集合{ψ[u,v]}与Gauss曲率K≡1的曲面集合{M02}之间一一对应,利用活动标架法将欧式空间的负常曲率曲面转换成伪欧式曲面,将Halphen定理推广到伪欧式空间上,从而求得Sinh-laplace方程的新解.There is a correspondence between nontrivial solutions{ψ[u,v]} of the Sinh-laplace equation and the surfaces {M20} of constant Gauss curvature 1 in R13.The article employs moving frame to convert the space with K≡1 in euclidean space to the space in pseudo-euclidean space,and promote the Halphentheorem in pseudo-euclidean space.As a result,a new solution of the Sinh-laplace equation is obtained.

关 键 词：伪球线汇 Sinh-laplace方程 GAUSS曲率 半测地坐标系 

分 类 号：O241.82[理学—计算数学]