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Some new characterizations of a space curve due to a modified frame N , C , W in Euclidean 3-space

  • Sedat Ayaz , Hatice Kuşak Samancı ORCID logo EMAIL logo and Hüseyin Kocayiğit
Published/Copyright: December 1, 2021

Abstract

In our paper, we computed some new characterizations due to an alternative modified frame N , C , W in Euclidean 3-space and we get general differential equation characterizations of a space curve due to the vectors N , C , W . Furthermore, we investigated some differential equations characterizations of the harmonic and harmonic 1-type curves.

MSC (2010): 53A04; 53Z05; 53Z99

Corresponding author: Hatice Kuşak Samancı, Department of Mathematics, Bitlis Eren University, Bitlis, 13000, Türkiye, E-mail:

  1. Author contribution: All authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2020-11-26
Revised: 2021-07-22
Accepted: 2021-11-04
Published Online: 2021-12-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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