R^3的射丛上Gauss方程不变解  

Invariant Solutions of Gauss Equation on Jet Bundle R^3

作　　者：何梅[1] 

机构地区：[1]淮阴师范学院数学系

出　　处：《华东师范大学学报（自然科学版）》2007年第3期16-22,共7页Journal of East China Normal University(Natural Science)

摘　　要：用对称群的方法研究了在R^3的射丛上Gauss曲率方程所容许的不变群及群不变解,并得到相应的不变群及一些群不变解。同时,从方程的角度得到了具常Gauss曲率曲面的一些结果。Using symmetry group methods, this paper studied the invariant groups admitted by Gauss curvature equation on jet bundle. Invariant groups, infinitesimal generators of the corresponding invariant groups and some group-invariant solutions were found. Results about some surfaces which have constant Gauss curvature were given.

关 键 词：不变曲面 不变群 群不变解 延拓 射流空间 

分 类 号：O175.4[理学—数学]