Studying Scalar Curvature of Two Dimensional Kinematic Surfaces Obtained by Using Similarity Kinematic of a Deltoid

• 作者: E. M. Solouma M. Bary M. M. Wageeda Y. Gh. Gouda
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: KINEMATIC Surface SIMILARITY KINEMATIC Motion SCALAR Curvature CYCLOID CURVES
• 年，卷（期）: 2015,（8）
• 页码范围: 1353-1361
• 页数: 9页
• 分类号: O1

摘要

We consider a similarity kinematic of a deltoid by studying locally the scalar curvature for the corresponding two dimensional kinematic surfaces in the Euclidean space . We prove that there is no two dimensional kinematic surfaces with scalar curvature K is non-zero constant. We describe the equations that govern such the surfaces.