A generalization for surfaces using a line of curvature in Lie group

Dae Won YOON; Zuhal KUCUKARSLAN YUZBASİ

doi:https://doi.org/10.15672/hujms.664764

Article Details

A generalization for surfaces using a line of curvature in Lie group

Authors:

Dae Won YOON | Zuhal KUCUKARSLAN YUZBASİ

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 2, pp.444-452

Document Type:

Article

Publication Date:

4/2021

Document Language:

English

Document ID (Org No.):

2000450719

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.664764

Abstract:

 

In this study, we investigate how to construct surfaces using a line of curvature in a 3-dimensional Lie group. Then, by utilizing the Frenet frame, we give the conditions that a curve becomes a line of curvature on a surface when the marching-scale functions are more general expressions. After then, we provide some crucial examples of how efficient our method is on these surfaces.

Article Details

A generalization for surfaces using a line of curvature in Lie group

Authors: Dae Won YOON | Zuhal KUCUKARSLAN YUZBASİ

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 2, pp.444-452

Document Type: Article

Publication Date: 4/2021

Document Language: English

Document ID (Org No.): 2000450719

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.664764

Issues

Authors:

Dae Won YOON | Zuhal KUCUKARSLAN YUZBASİ

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 2, pp.444-452

Document Type:

Article

Publication Date:

4/2021

Document Language:

English

Document ID (Org No.):

2000450719

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.664764