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An explicit formula
for spherical curves with constant torsion
Demetre Kazaras and Ivan Sterling |
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Vol. 259 (2012), No. 2, 361–372
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Abstract |
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We give an explicit formula for all curves of constant torsion in the unit two-sphere. Our approach uses hypergeometric functions to solve relevant ordinary differential equations. |
Keywords
constant torsion curves, spherical curves
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Mathematical Subject Classification 2010
Primary: 53A04
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Milestones
Received: 22 October 2011
Revised: 3 July 2012
Accepted: 23 July 2012
Published: 3 October 2012
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Authors |
| Demetre Kazaras | |
| Department of Mathematical
Sciences University of Oregon Fenton Hall Eugene, OR 97403-1222 United States |
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| Ivan Sterling | |
| St. Mary’s College of Maryland 18952 E. Fisher Road St. Mary’s City, MD 20686-3001 United States |
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