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Geodesics in a Manifold with Heisenberg Group as Boundary |
Canad. J. Math. 56(2004), 566-589
Published:2004-06-01
Printed: Jun 2004
Printed: Jun 2004
- Yilong Ni
Abstract
The Heisenberg group is considered as the boundary of a manifold. A class
of hypersurfaces in this manifold can be regarded as copies of the Heisenberg
group. The properties of geodesics in the interior and on the hypersurfaces
are worked out in detail. These properties are strongly related to those of
the Heisenberg group.
| Keywords: | Heisenberg group, Hamiltonian mechanics, geodesic |
| MSC Classifications: |
53C22 - Geodesics [See also 58E10] 53C17 - Sub-Riemannian geometry |