Journal of East China Normal University(Natural Sc ›› 2007, Vol. 2007 ›› Issue (3): 16-22.

• Article • Previous Articles     Next Articles

Invariant Solutions of Gauss Equation on Jet Bundle R3(Chinese)

HE Mei1,2   

  1. 1. Department of Mathematics, Huaiyin Teachers College, Huaian Jiangsu 223001, China; 2. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2006-05-22 Revised:2006-10-11 Online:2007-05-25 Published:2007-05-25
  • Contact: HE Mei

Abstract: Using symmetry group methods, this paper studied the invariant groups admitted by Gauss curvature equation on jet bundle R3. 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.

Key words: invariant groups, group-invariant solutions, prolongation, jet space, invariant surface, invariant groups, group-invariant solutions, prolongation, jet space

CLC Number: