Smarandache Curves of Natural Curves Pair According to Frenet Frame

Mendonca, Thiago and Alan, Jose and Teixeira, Renato (2024) Smarandache Curves of Natural Curves Pair According to Frenet Frame. Advances in Research, 25 (5). pp. 1-13. ISSN 2348-0394

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Abstract

Smarandache curves play a significant role in differential geometry. They extend conventional differential geometry concepts and help uncover novel geometric properties. In this work, we define the Smarandache curves of the Natural mate of any given curve α and calculate their Frenet apparatus. As a particular case, we present the Frenet apparatus when α is a helix. Additionally, we illustrate an example for the slant helix.

Item Type: Article
Subjects: Eprints AP open Archive > Multidisciplinary
Depositing User: Unnamed user with email admin@eprints.apopenarchive.com
Date Deposited: 30 Aug 2024 06:39
Last Modified: 30 Aug 2024 06:39
URI: http://asian.go4sending.com/id/eprint/2232

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