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CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE
Journal article   Peer reviewed

CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE

Fathi M. Hamdoon and Ahmad T. Ali
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, Vol.6(1), pp.68-78
01/04/2013

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we consider the equiform motion of a sphere in Euclidean space E-7. We study and analyze the corresponding kinematic three-dimensional surface under the hypothesis that its scalar curvature K is constant. Under this assumption, we prove that vertical bar K vertical bar < 2.

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