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March 2021 A different view of the tube surface in Minkowski 3-space $E_{1}^{3}$
Muradiye Çimdiker Aslan, Yasin Ünlütürk
Tbilisi Math. J. 14(1): 211-218 (March 2021). DOI: 10.32513/tmj/19322008116

Abstract

A basic goal of this paper is to study the tube surface with a null Cartan curve with respect to the Bishop frame in Minkowski 3-space $E_{1}^{3}$ and to compute some geometric features for this kind of the tube surface such as, the first and the second fundamental forms, the mean and the Gaussian curvatures. Furthermore, using the mean curvature $H$ and the Gaussian curvature $K$, we investigate $\Omega(K,H)-$ surface condition of the tube surface with the null Cartan curve due to the Bishop frame in Minkowski 3-space $E_{1}^{3}$.

Acknowledgment

The authors would like to thank the reviewer for his/her comments that helped to improve the manuscript.

Citation

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Muradiye Çimdiker Aslan. Yasin Ünlütürk. "A different view of the tube surface in Minkowski 3-space $E_{1}^{3}$." Tbilisi Math. J. 14 (1) 211 - 218, March 2021. https://doi.org/10.32513/tmj/19322008116

Information

Received: 3 September 2020; Accepted: 12 November 2020; Published: March 2021
First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.32513/tmj/19322008116

Subjects:
Primary: 53B30
Secondary: 53C50

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 1 • March 2021
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