Article citationsMore>>

Farin, G., Hoschek, J. and Kim, M. (2002) The Handbook of Computer Aided Geometric Design. North-Holland, Amsterdam.

has been cited by the following article:

• 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.