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

作     者：E. M. Solouma M. M. Wageeda Y. Gh. Gouda M. Bary 

作者机构：Department of Mathematics Faculty of Science Beni-Suef University Beni-Suef Egypt Department of Mathematics Faculty of Science Aswan University Aswan Egypt 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2015年第6卷第8期

页      面：1353-1361页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Kinematic Surface Similarity Kinematic Motion Scalar Curvature Cycloid Curves 

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.