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Loxodromes on
hypersurfaces of revolution
Jacob Blackwood, Adam Dukehart and Mohammad Javaheri |
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Vol. 10 (2017), No. 3, 465–472
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Abstract |
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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. |
Keywords
loxodromes, surfaces of revolution
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Mathematical Subject Classification 2010
Primary: 53A04, 53A05, 53A07, 14H50, 14Q10
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Milestones
Received: 17 November 2015
Revised: 17 November 2015
Accepted: 2 May 2016
Published: 14 December 2016
Communicated by Gaven Martin
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Authors |
| Jacob Blackwood | |
| School of Science Siena College 515 Loudon Road Loudonville, NY 12211 United States |
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| Adam Dukehart | |
| School of Science Siena College 515 Loudon Road Loudonville, NY 12211 United States |
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| Mohammad Javaheri | |
| School of Science Siena College 515 Loudon Road Loudonville, NY 12211 United States |
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| © 2017 MSP (Mathematical Sciences Publishers). |
