Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON A GENERALIZATION OF FENCHEL`S THEOREM

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

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$^{n}$ .

Keywords

References

  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