TITLE:
Local Study of Scalar Curvature of Cyclic Surfaces Obtained by Homothetic Motion of Lorentzian Circle
AUTHORS:
M. M. Wageeda, E. M. Solouma
KEYWORDS:
Minkowski Space, Cyclic Surfaces, Homothetic Motion, Scalar Curvature
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.8,
July
27,
2015
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.