Differential Geometry
Assem Abdel-Salam
Broschiertes Buch

Differential Geometry

On Properties of Involute and Evolute Curves in the Hyperbolic and de Sitter Spaces

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In this book, we concerned mainly with the evolute and the involute curves as well as their geometric properties in hyperbolic and de Sitter spaces. The evolute of a regular curve is a classical object from the viewpoint of differential geometry. The evolute and involute curves have the most important positions and applications in the study of design problems in spatial mechanisms and physics, kinematics, computer-aided design (CAD) and computer-aided geometric design (CAGD), it is one of the most important topics of differential geometry. Because of this, geometers have studied it in Euclidea...