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Abstract
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We determine the lengths of all closed sub-Riemannian geodesics on the three-sphere
. Our
methods are elementary and allow us to avoid using explicit formulas for the
sub-Riemannian geodesics.
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Keywords
sub-Riemannian geometry
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Mathematical Subject Classification 2010
Primary: 53C17
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Milestones
Received: 24 March 2017
Accepted: 6 March 2018
Published: 31 May 2018
Communicated by Kenneth S. Berenhaut
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