Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SPACE-LIKE SURFACES WITH 1-TYPE GENERALIZED GAUSS MAP

  • Choi, Soon-Meen (Topology and Geometry Research Center Kyungpook National University) ;
  • Ki, U-Hang (Topology and Geometry Research Center Kyungpook National University) ;
  • Suh, Young-Jin (Department of Mathematics Kyungpook National University)
  • Published : 1998.05.01
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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.

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