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

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DOI: 10.4236/am.2015.68128    2,444 Downloads   2,720 Views   Citations


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.

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The authors declare no conflicts of interest.

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Solouma, E. , Wageeda, M. , Gouda, Y. and Bary, M. (2015) Studying Scalar Curvature of Two Dimensional Kinematic Surfaces Obtained by Using Similarity Kinematic of a Deltoid. Applied Mathematics, 6, 1353-1361. doi: 10.4236/am.2015.68128.


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