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The classification of
simply-connected contact sub-riemannian symmetric spaces
Pierre Bieliavsky, Elisha Falbel and Claudio Gorodski |
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Vol. 188 (1999), No. 1, 65–82
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Abstract |
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Sub-Riemannian geometry is the geometry of non-integrable k-plane distributions 𝒟 on n-manifolds M, 1 < k < n, where 𝒟 is equipped with a positive definite metric g. We classify the simply-connected contact sub-Riemannian symmetric spaces (these belong to a class of sub-Riemannian manifolds (M,𝒟,g) with special symmetry properties). |
Milestones
Received: 22 January 1997
Revised: 12 February 1998
Published: 1 March 1999
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Authors |
| Pierre Bieliavsky | |
| Pennsylvania State University University Park State College, PA 16802 |
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| Elisha Falbel | |
| Université de Paris VI Paris Cedex 05 France |
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| Claudio Gorodski | |
| Universidade de São Paulo 05315-970 São Paulo, SP Brazil |
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