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AN INTEGRAL FORMULA AND ITS APPLICATIONS

  • Chai, Y.-D (Department of Mathematics, Sungkyunkwan University) ;
  • Kim, Moonjeong (Department of Mathematics, Sungkyunkwan University)
  • Published : 2002.02.01

Abstract

In this paper, we obtain an integral formula relating the measure of great spheres $S^{n-2}$ and arc length of a curve on the unit sphere $S^{n-1$ As an application of the formula, we develop a geometric inequality for a spherical curve and prone generalized version of Fenchel's theorem in $S^n$.

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