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SubRiemannian Geometry on the Sphere ๐•Š3

Published online by Cambridge University Press:ย  20 November 2018

Ovidiu Calin ,
Der-Chen Chang  and
Irina Markina
Ovidiu Calin
Affiliation:
Department of Mathematics, Eastern Michigan University, Ypsilanti, MI, 48197, U.S.A. e-mail: [email protected]
Der-Chen Chang
Affiliation:
Department of Mathematics, Georgetown University, Washington, D.C., 20057, U.S.A. and National Centre for Theoretical Sciences, Mathematics Division, National Tsing Hua University, Hsinchu, 30013, Taiwan, ROC e-mail: [email protected]
Irina Markina
Affiliation:
Department of Mathematics, University of Bergen, Johannes Brunsgate 12, Bergen 5008, Norway e-mail: [email protected]
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Abstract

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We discuss the subRiemannian geometry induced by two noncommutative vector fields which are left invariant on the Lie group ${{\mathbb{S}}^{3}}$.

Keywords

53C1753C2235H20noncommutative Lie groupquaternion groupsubRiemannian geodesichorizontal distributionconnectivity theoremholonomic constraint
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 61 , Issue 4 , 01 August 2009 , pp. 721 - 739
Copyright
Copyright ยฉ Canadian Mathematical Society 2012

References

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