SPACE-LIKE SURFACES WITH 1-TYPE GENERALIZED GAUSS MAP

  • Choi, Soon-Meen ;
  • Ki, U-Hang ;
  • Suh, Young-Jin
  • Published : 1998.05.01

Abstract

Chen and Piccinni [7] have classified all compact surfaces in a Euclidean space $R^{2+p}$ with 1-type generalized Gauss map. Being motivated by this result, the purpose of this paper is to consider the Lorentz version of the classification theorem and to obtain a complete classification of space-like surfaces in indefinite Euclidean space $R_{p}$ $^{2+p}$ with 1-type generalized Gauss map.p.

Keywords

space-like surfaces;Gauss map;1-type generalized Gauss map;totally umbilical hypersurface;Grassmann manifold