[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2002.39.1.089

AN INTEGRAL FORMULA AND ITS APPLICATIONS

Chai, Y.-D (Department of Mathematics, Sungkyunkwan University)
Kim, Moonjeong (Department of Mathematics, Sungkyunkwan University)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 89-95 More about this Journal

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 $S^n$ .

Keywords

Crofton＇s formula; total curvature; pole;

Citations & Related Records

Reference

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