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A generalization for surfaces using a line of curvature in Lie groupopen access
- Issue Date
- 2021
- Publisher
- HACETTEPE UNIV, FAC SCI
- Keywords
- surface family; Lie Group; line of curvature
- Citation
- HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, v.50, no.2, pp 444 - 452
- Pages
- 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Volume
- 50
- Number
- 2
- Start Page
- 444
- End Page
- 452
- ISSN
- 1303-5010
2651-477X
- 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.
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