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

Autor:	E. M. Solouma, M. M. Wageeda
Rok vydání:	2015
Předmět:	Surface (mathematics) General Relativity and Quantum Cosmology Prescribed scalar curvature problem Mathematical analysis Minkowski space Motion (geometry) Mathematics::Differential Geometry General Medicine Curvature Constant (mathematics) Scalar curvature Homothetic transformation Mathematics
Zdroj:	Applied Mathematics. :1344-1352
ISSN:	2152-7393 2152-7385
DOI:	10.4236/am.2015.68127
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::23762b9dac40d0c56dea684698318370 https://doi.org/10.4236/am.2015.68127 Zobrazit plný text záznamu