Local Study of Scalar Curvature of Cyclic Surfaces Obtained by Homothetic Motion of Lorentzian Circle

M. M. Wageeda¹, E. M. Solouma²

¹Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt.
²Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.

DOI: 10.4236/am.2015.68127                

Abstract

In this paper we consider the homothetic motion of Lorentzian circle by studying the scalar curvature for the corresponding cyclic surface locally. We prove that if the scalar curvature is constant, then . We describe the equations that govern such surfaces.

Keywords

Minkowski Space, Cyclic Surfaces, Homothetic Motion, Scalar Curvature

Conflicts of Interest

The authors declare no conflicts of interest.

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