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Loxodromes and geodesics on rotational surfaces in a simply isotropic space
- Authors
- Yoon, Dae Won
- Issue Date
- Jul-2017
- Publisher
- SPRINGER BASEL AG
- Keywords
- Loxodrome; geodesic; simply isotropic space; rotational surface
- Citation
- JOURNAL OF GEOMETRY, v.108, no.2, pp 429 - 435
- Pages
- 7
- Indexed
- SCOPUS
ESCI
- Journal Title
- JOURNAL OF GEOMETRY
- Volume
- 108
- Number
- 2
- Start Page
- 429
- End Page
- 435
- ISSN
- 0047-2468
1420-8997
- Abstract
- A loxodrome is a curve on a parametrized surface that intersects one family of parametric lines at a constant angle. In this paper, we investigate loxodromes on rotational surfaces in the 3-dimensional simply isotropic space I-3 and give an example of loxodromes. Also, we completely classify geodesics on rotational surfaces in I-3.
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