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Differential geometry properties by using the perturbation methods

Bendrici, Nadhir and Boumedien-Zidani, Malika (2022) Differential geometry properties by using the perturbation methods. Annales Mathematicae et Informaticae, 55. pp. 1-11. ISSN 1787-6117

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Abstract

In this paper, we present a new method to evaluate the moving Frenet frame along the intersection curves of two parametric surfaces in the tangential intersection situations. To resolve such situation, we have combined a perturbation method with a classical method that works in transversal intersection situation. Unlike the existent methods, our method works even if the order contact of the point is more than one.

Item Type: Article
Uncontrolled Keywords: intersection of surfaces, parametric curve, perturbation methods, differential geometry properties, tangential intersection
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Tibor Gál
Date Deposited: 21 Dec 2022 13:01
Last Modified: 21 Dec 2022 13:03
URI: http://real.mtak.hu/id/eprint/155439

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