Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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2-type surfaces with 1-type gauss map

  • Jang, Kyung-Ok (Department of Mathematics, Teachers College, Kyungpook National University) ;
  • Kim, Young-Ho (Department of Mathematics, Teachers College, Kyungpook National University)
  • Published : 1997.01.01
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Abstract

It is well-known that a null 2-type surface in 3-dimensional Euclidean space $E^#$ is an open portion of circular cylinder. In this article we prove that a surface with 2-type and 1-type Gauss map in $E^3$ is in fact of null 2-type and thus it is an open portion of circular cylinder.

Keywords

References

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  2. Geometry of submanifolds Chen, B. -Y.
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  4. Bull. Austral. Math. Soc. v.35 Submanifolds with finite type Gauss map Chen, B. -Y.;Piccini, P.
  5. Bull. Korean Math. Soc. v.31 Co - closed surfaces of 1-type Gauss map Kim, Y. H.