Sub-Riemannian (2, 3, 5, 6)-Structures
Keyword(s):
Abstract We describe all Carnot algebras with growth vector (2, 3, 5, 6), their normal forms, an invariant that separates them, and a change of basis that transforms such an algebra into a normal form. For each normal form, Casimir functions and symplectic foliations on the Lie coalgebra are computed. An invariant and normal forms of left-invariant (2, 3, 5, 6)-distributions are described. A classification, up to isometries, of all left-invariant sub-Riemannian structures on (2, 3, 5, 6)-Carnot groups is obtained.
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1996 ◽
Vol 04
(04)
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pp. 331-349
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2011 ◽
Vol 76
(3)
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pp. 807-826
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2004 ◽
Vol 14
(09)
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pp. 3337-3345
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2014 ◽
Vol 24
(07)
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pp. 1450090
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2020 ◽
Vol 2020
(765)
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pp. 205-247