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

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DOI: 10.4236/am.2015.68127    6,562 Downloads   6,848 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Wageeda, M. and Solouma, E. (2015) Local Study of Scalar Curvature of Cyclic Surfaces Obtained by Homothetic Motion of Lorentzian Circle. Applied Mathematics, 6, 1344-1352. doi: 10.4236/am.2015.68127.

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