M. M. Wageeda, Emad M. Solouma
Abstract
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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.
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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.
Key concepts: Homothetic transformation, Curvature, Scalar curvature, Scalar (mathematics), Constant (computer programming), Motion (physics), Mathematics, Mathematical analysis