On Parallel Ruled Surfaces in Minkowski 3-Space and Their Retractions

On Parallel Ruled Surfaces in Minkowski 3-Space and Their Retractions

In this paper, new types of retractions on ruled surfaces and parallel ruled surfaces as directrix retraction and ruling retraction in Minkowski 3-space has been presented. The topological folding of surfaces is deduced. The limit of these retractions and foldings have been obtained. The relations b...

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Veröffentlicht in:International journal of mathematical combinatorics 2021-12, Vol.4, p.1-10
Hauptverfasser: El-Ahmady, A E, Raslan, Malak E, M-Zidan, A T
Format: Artikel
Sprache:eng
Schlagworte:
Folding
Minkowski space
Normal distribution
Topology
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Zusammenfassung:In this paper, new types of retractions on ruled surfaces and parallel ruled surfaces as directrix retraction and ruling retraction in Minkowski 3-space has been presented. The topological folding of surfaces is deduced. The limit of these retractions and foldings have been obtained. The relations between the fundamental forms, Gaussian and mean curvatures before and after folding are discussed.
ISSN:1937-1055
1937-1047