AN INTEGRAL FORMULA AND ITS APPLICATIONS

Title & Authors
AN INTEGRAL FORMULA AND ITS APPLICATIONS
Chai, Y.-D; Kim, Moonjeong;

Abstract
In this paper, we obtain an integral formula relating the measure of great spheres $\small{S^{n-2}}$ and arc length of a curve on the unit sphere $\small{S^{n-1}$ As an application of the formula, we develop a geometric inequality for a spherical curve and prone generalized version of Fenchel＇s theorem in $\small{S^n}$.
Keywords
Crofton＇s formula;total curvature;pole;
Language
English
Cited by
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