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Local Study of Scalar Curvature of Cyclic Surfaces Obtained by Homothetic Motion of Lorentzian Circle
Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
- 1 Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
- 2 Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
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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.
KeywordsMinkowski SpaceCyclic SurfacesHomothetic MotionScalar Curvature
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