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Symplectic, Hofer and sub-Riemannian geometry

Marius Buliga
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Abstract

The purpose of this note is to make some connection between the sub-Riemannian geometry on Carnot-Caratheodory groups and symplectic geometry. We shall concentrate here on the Heisenberg group, although it is transparent that almost everything can be done on a general Carnot-Caratheodory group. Such generalisations will be the subject of a forthcoming note.

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Marius Buliga. 2002-01-12. Symplectic, Hofer and sub-Riemannian geometry. https://arxiv.org/abs/math/0201107

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