ON THE HASIMOTO SURFACES IN EUCLIDEAN 3-SPACE-Reference-Cited by-同舟云学术

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ON THE HASIMOTO SURFACES IN EUCLIDEAN 3-SPACE

Published:2022-12-30 Issue:4 Volume:22 Page:883-890
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

KAYMANLI GÜL UĞUR¹,EKICI CUMALI²,KOÇAK MAHMUT²

Affiliation:

1. Cankiri Karatekin University, Department of Mathematics, 18100 Cankiri, Turkey.

2. Eskisehir Osmangazi University, Department of Mathematics-Computer, 26040 Eskisehir, Turkey

Abstract

In the present study, we work on the Hasimoto surfaces in three-dimensional Euclidean space by using q-frame. Calculating the coefficients of fundamental forms, we present Gaussian and mean curvatures of these Hasimoto surfaces. Lastly, we find some characterization of parameter curves of these Hasimoto surfaces.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference13 articles.

1. Hasimoto, H., J. Fluid. Mech., 51, 477, 1972.

2. Hoffmann, T., Discrete Hashimoto surfaces and a doubly discrete smokering flow, arXiv:math/0007150.

3. Abdel-All, N.H., Hussien, R.A., Youssef, T., Life Science Journal, 9(3), 556, 2012.

4. Erdogdu, M., Ozdemir, M., Mathematical Physics, Analysis and Geometry, 17 169, 2014.

5. Kelleci, A., Bektas, M., Ergut, M., Adiyaman University Journal of Science, 9, 13, 2019.

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