대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제14권1호
  • /
  • Pages.189-200
  • /
  • 1999
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

SURFACES OF 1-TYPE GAUSS MAP WITH FLAT NORMAL CONNECTION

  • 발행 : 1999.01.01
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초록

In this paper, we proved that the only surfaces of 1-type Gauss map with flat normal connection are spheres, products of two plane circles and helical cylinders.

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참고문헌

  1. Tokyo J. Math. v.16 Ruled surfaces and Tubes with finite-type Gauss Baikoussis, C.;Chem, B.-Y.;Veretraelen, L.
  2. Total mean curvature and Submanifolds of finite-type Chem, B.-Y.
  3. Bull. Austral. Math. Soc. v.35 Submanifolds with finite-type Gauss map Chen, B.-Y.;Piccini, P.
  4. Geometry of Submanifolds Chen, B.-Y.
  5. Algebraic Curves Fulton, William
  6. J. Diff. Geom. v.8 Surfaces of constant Mean Curvature in Manifolds of constant Curvature Hoffman, David A.
  7. Kodai Math. Jour. v.19 Surfaces with 1-type Gauss map Jang, C.
  8. Kyungbook Math. J. v.35 Quadric Hypersurfaces with finite type Gauss maps Kim, D.-S.;Kim, S.-B.
  9. Bull. Korean Math. Soc. v.31 Co-closed surfaces of 1-type Gauss map Kim, Y.H.