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2005 GEOMETRIC MECHANICS ON A STEP $4$ SUBRIEMANNIAN MANIFOLD
Ovidiu Calin, Der-Chen Chang
Taiwanese J. Math. 9(2): 261-280 (2005). DOI: 10.11650/twjm/1500407802

Abstract

In this paper we study the behavior of subRiemannian geodesics on a certain step $4$ subRiemannian manifold. We compute the length of the subRiemannian geodesics between the origin and any point on the $t-$axis, where the conjugate locus is. We characterize the number of subRiemannian geodesics between the origin and any other point.

Citation

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Ovidiu Calin. Der-Chen Chang. "GEOMETRIC MECHANICS ON A STEP $4$ SUBRIEMANNIAN MANIFOLD." Taiwanese J. Math. 9 (2) 261 - 280, 2005. https://doi.org/10.11650/twjm/1500407802

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1088.53021
MathSciNet: MR2142577
Digital Object Identifier: 10.11650/twjm/1500407802

Subjects:
Primary: 35H20 , 53C17 , 53C22

Keywords: bracket generating condition , conjugate points , elliptic functions , subRiemannian geodesics , subRiemannian geometry

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 2 • 2005
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