대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권1호
  • /
  • Pages.103-109
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ON A GENERALIZATION OF FENCHEL`S THEOREM

  • Chai, Y.D. (Department of Mathematics Sungkyunkwan University) ;
  • Kim, Moon-Jeong (Department of Mathematics Sungkyunkwan University)
  • 발행 : 2000.01.01
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초록

In this paper, we present the proof of generalized Fenchel's theorem by estimating the Gauss-Kronecker curvature of the tube of a nondegenerate closed curve in R$^{n}$ .

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참고문헌

  1. Studies in global geometry and analysis v.4 S. S. Chern
  2. Math. Ann. v.101 Uber Krummung und Winedung geschlossener Raumkurven W. Fenchel
  3. Bull. Amer. Math. Soc. v.57 The differential geometry of closed space curves
  4. Differential Geometry H. W. Guggenheimer
  5. Differential and Riemannian Geometry D. Laugwitz
  6. Amer. Monthly Curvature in the Eighties R. Osserman
  7. Arch. Match. v.6 Eine Bemerkung uber die Totalkrummung geschlossener Raumkurven K. Voss