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Local study of scalar curvature of two-dimensional surfaces obtained by the motion of circle
Journal article   Peer reviewed

Local study of scalar curvature of two-dimensional surfaces obtained by the motion of circle

E.M. Solouma
Applied mathematics and computation, Vol.219(8), pp.3385-3394
15/12/2012
DOI: https://doi.org/10.1016/j.amc.2012.09.066

Abstract

Equiform motion Scalar curvature Two-dimensional surface
In this paper we consider the equiform motion of a circle by studying the scalar curvature for the corresponding two-dimensional surface locally. We prove that if the scalar curvature K is constant, then K=0. We describe the equations that govern such surfaces.

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