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Mathematics Academia Sinica
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2006 / March Volume 1 No.1
On geodesics in subRiemannian geometry
Published Date
2006 / March
Title
On geodesics in subRiemannian geometry
Author
Bernard Gaveau, Peter C. Greiner
Keyword
Canonical submanifold, geodesics, Hamiltonian formalism, subRiemannian geometry, Canonical submanifold, geodesics, Hamiltonian formalism, subRiemannian geometry
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Pagination
79-209
Abstract
We study a subRiemannian geometry induced by 2 specific vector fields in $\mathbb{R}^3$, and obtain the canonical curve whose tangents provide the missing direction.
AMS Subject
Classification
58A30, 53C22
Received
2006-01-27
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