Open Access
2017 Loxodromes on hypersurfaces of revolution
Jacob Blackwood, Adam Dukehart, Mohammad Javaheri
Involve 10(3): 465-472 (2017). DOI: 10.2140/involve.2017.10.465

Abstract

A loxodrome is a curve that makes a constant angle with the meridians. We use conformal maps and the notion of parallel transport in differential geometry to investigate loxodromes on hypersurfaces of revolution and their spiral behavior near a pole.

Citation

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Jacob Blackwood. Adam Dukehart. Mohammad Javaheri. "Loxodromes on hypersurfaces of revolution." Involve 10 (3) 465 - 472, 2017. https://doi.org/10.2140/involve.2017.10.465

Information

Received: 17 November 2015; Revised: 17 November 2015; Accepted: 2 May 2016; Published: 2017
First available in Project Euclid: 12 December 2017

zbMATH: 1355.53004
MathSciNet: MR3583876
Digital Object Identifier: 10.2140/involve.2017.10.465

Subjects:
Primary: 14H50 , 14Q10 , 53A04 , 53A05 , 53A07

Keywords: loxodromes , surfaces of revolution

Rights: Copyright © 2017 Mathematical Sciences Publishers

Vol.10 • No. 3 • 2017
MSP
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