Geometry and evolution of Hasimoto surface in Minkowski 3-space.

Autor: Abdel-Aziz HS; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt., Serry HM; Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt., El-Adawy FM; Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt., Saad MK; Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, KSA.
Jazyk: angličtina
Zdroj: PloS one [PLoS One] 2024 Jan 02; Vol. 19 (1), pp. e0294310. Date of Electronic Publication: 2024 Jan 02 (Print Publication: 2024).
DOI: 10.1371/journal.pone.0294310
Abstrakt: The main goal of this paper is to introduce the evolution equations for a timelike Hasimoto surface from its fundamental form coefficients in Minkowski 3-space [Formula: see text]. By utilizing the evolved quasi-curve (q-curve), we present and analyze three types of Hasimoto surfaces, attributed to the quasi-tangent, quasi-normal, and quasi-binormal vectors of the curve. Finally, we provide an illustrated example to strengthen our main results.
Competing Interests: The authors have declared that no competing interests exist.
(Copyright: © 2024 Abdel-Aziz et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.)
Databáze: MEDLINE
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