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Studying Scalar Curvature of Two Dimensional Kinematic Surfaces Obtained by Using Similarity Kinematic of a Deltoid
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
- 1 Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
- 2 Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
- 3 Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
- 4 Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
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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.
KeywordsKinematic SurfaceSimilarity Kinematic MotionScalar CurvatureCycloid Curves
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