Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP

  • CHEN BANG-YEN (Department of Mathematics Michigan State University) ;
  • CHOI MIEKYUNG (Department of Mathematics Kyungpook National University) ;
  • KIM YOUNG HO (Department of Mathematics Kyungpook National University)
  • Published : 2005.05.01
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Abstract

In this article, we introduce the notion of pointwise 1-type Gauss map of the first and second kinds and study surfaces of revolution with such Gauss map. Our main results state that surfaces of revolution with pointwise 1-type Gauss map of the first kind coincide with surfaces of revolution with constant mean curvature; and the right cones are the only rational surfaces of revolution with pointwise 1-type Gauss map of the second kind.

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References

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