A Geometric Inequality for a Finite Set of Points on a Sphere and its Applications

Author: Shiguo Y.  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.62, Iss.2, 1996-09, pp. : 157-160

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Abstract

In this paper we present a geometric inequality for a finite number of points on an (n-1)-dimensional sphere S_{n-1} (R). As an application, we obtain a geometric inequality for finitely many points in the n-dimensional Euclidean space E^n.