Open Access
2019 The length spectrum of the sub-Riemannian three-sphere
David Klapheck, Michael VanValkenburgh
Involve 12(1): 45-61 (2019). DOI: 10.2140/involve.2019.12.45

Abstract

We determine the lengths of all closed sub-Riemannian geodesics on the three-sphere S 3 . Our methods are elementary and allow us to avoid using explicit formulas for the sub-Riemannian geodesics.

Citation

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David Klapheck. Michael VanValkenburgh. "The length spectrum of the sub-Riemannian three-sphere." Involve 12 (1) 45 - 61, 2019. https://doi.org/10.2140/involve.2019.12.45

Information

Received: 24 March 2017; Accepted: 6 March 2018; Published: 2019
First available in Project Euclid: 26 October 2018

zbMATH: 1392.53052
MathSciNet: MR3810477
Digital Object Identifier: 10.2140/involve.2019.12.45

Subjects:
Primary: 53C17

Keywords: sub-Riemannian geometry

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.12 • No. 1 • 2019
MSP
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