Asian Journal of Mathematics

Volume 8 (2004)

Number 1

REAL AND COMPLEX HAMILTONIAN MECHANICS ON SOME SUBRIEMANNIAN MANIFOLDS

Pages: 137 – 160

DOI: https://dx.doi.org/10.4310/AJM.2004.v8.n1.a11

Authors

Ovidiu Calin

Der-Chen Chang (Department of Mathematics, Georgetown University, Washington, D.C., U.S.A.; and Department of Mathematics, Fu Jen Catholic University, Taipei, Taiwan)

Peter Greiner

Abstract

We prove geodesic completeness and global conectivity for a step 2k + 2 subRiemannian manifold. Using complex Hamiltonian mechanics we also calculate some subRiemannian distances.

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Published 1 January 2004