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http://dx.doi.org/10.1216/rmjm/1034968429

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.