Pseudo-umbilical surfaces in a pseudo-riemannian sphere or a pseudo-hyperbolic space

  • Kim, Young-Ho ;
  • Kim, Young-Wook
  • Published : 1995.02.01


The notion of finite type submanifold was introduced by B.-Y. Chen [1]. A lot of works were done in this field of study by many authors. B.-Y. Chen also extended this notion to pseudo-Riemannian submanifold of pseudo-Euclidean space ([2]).


pseudo-Riemannian manifolds;finite-type;pseudo-umbilical.