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

E. M. Solouma, M. M. Wageeda, Y. Gh. Gouda, M. Bary
2015 Applied Mathematics  
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  5 . 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.
doi:10.4236/am.2015.68128 fatcat:kgrmhhaoybb5togjymesqor6x4