TITLE:
Studying Scalar Curvature of Two Dimensional Kinematic Surfaces Obtained by Using Similarity Kinematic of a Deltoid
AUTHORS:
E. M. Solouma, M. M. Wageeda, Y. Gh. Gouda, M. Bary
KEYWORDS:
Kinematic Surface, Similarity Kinematic Motion, Scalar Curvature, Cycloid Curves
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.8,
July
27,
2015
ABSTRACT: 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.