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

• 作者: E. M. Solouma M. M. Wageeda
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: MINKOWSKI Space CYCLIC SURFACES Homothetic MOTION SCALAR Curvature
• 年，卷（期）: 2015,（8）
• 页码范围: 1344-1352
• 页数: 9页
• 分类号: O1

摘要

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.