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Geodesics in a Manifold with Heisenberg Group as Boundary

Published:2004-06-01
Printed: Jun 2004
• Yilong Ni
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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

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