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math.SG2002
Volume preserving bi-Lipschitz homeomorphisms on the Heisenberg group
Marius Buliga
Elementary sub-Riemannian geometry on the Heisenberg group H(n) provides a compact picture of symplectic geometry. Any Hamiltonian diffeomorphism on lifts to a volume pres…
math.SG2002
Symplectic, Hofer and sub-Riemannian geometry
Marius Buliga
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 Heis…