journal6 ›› 2008, Vol. 29 ›› Issue (6): 5-8.

• Mathematics • Previous Articles     Next Articles

Spacelike Hypersurfaces With Quadric Representations Satisfing □x~=Bx~+C


  1. (Nanchang University,Nanchang 330047,China)
  • Online:2008-11-25 Published:2012-05-19

Abstract: Let x:Mn→Ln+1 be an isometric immersion of Riemannian manifold Mn into the Minkowski space Ln+1.The map x~=xxT (T denotes transpose) is called the quadric representation of the spacelike hypersurface Mn.We study the hypersurface Mn which satisfies □x~=Bx~+C,where □ is the linearized operator of the mean curvature of hypersurface Mn,B and C are two constant matrices.

Key words: spacelike hypersurface, quadric representation, mean curvature, linearized operator

WeChat e-book chaoxing Mobile QQ