Differential Geometry in different spaces

Haytham Ashraf Abdelaal

ISBN 10: 6200076715 / ISBN 13: 9786200076717

Editore: Noor Publishing Mär 2020, 2020

Riguardo questo articolo

Neuware -The aim of the thesis is to study a certain class of curves: Magnetic curves, curves of constant-ratio, etc., or one could focus on some properties of curves. In addition, one can study for example factorable surfaces, affine factorable surfaces, factorable surfaces with density. In a study of these surfaces for example, the focus can lie on the curvatures, log-linear density. It is known that many physical processes can be formulated in the form of curves or surfaces so this thesis is interested in studying some special curves and surfaces in the Euclidean and pseudo-Euclidean spaces and then studying their geometric properties. Among these curves are magnetic curves, spacelike curves, lightlike curves and curves of constant-ratio, in addition to studying some of the geometric properties of these curves. Some of the important surfaces that we have studied are surfaces known as Factorable surfaces which are special cases of Monge surfaces.Books on Demand GmbH, Überseering 33, 22297 Hamburg 108 pp. Englisch.

Codice articolo 9786200076717

Dati bibliografici

• Titolo: Differential Geometry in different spaces
• Editore: Noor Publishing Mär 2020
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 6200076715
• ISBN 13: 9786200076717
• Rilegatura: Taschenbuch
• Condizione: Neu

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Riassunto

The aim of the thesis is to study a certain class of curves: Magnetic curves, curves of constant-ratio, etc., or one could focus on some properties of curves. In addition, one can study for example factorable surfaces, affine factorable surfaces, factorable surfaces with density. In a study of these surfaces for example, the focus can lie on the curvatures, log-linear density. It is known that many physical processes can be formulated in the form of curves or surfaces so this thesis is interested in studying some special curves and surfaces in the Euclidean and pseudo-Euclidean spaces and then studying their geometric properties. Among these curves are magnetic curves, spacelike curves, lightlike curves and curves of constant-ratio, in addition to studying some of the geometric properties of these curves. Some of the important surfaces that we have studied are surfaces known as Factorable surfaces which are special cases of Monge surfaces.