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Global Hamilton Principal Functions on \(\mathbb S_2\) and ℍ2

  • Sergio BenentiEmail author
Chapter
Part of the Universitext book series (UTX)

Abstract

As a final argument of this book I propose a theme, simple in its formulation, but not so simple in its design: to see which are the principal Hamilton functions for the geodesics of two basic Riemannian manifolds of constant curvature. In drafting this chapter, I was pleasantly helped by Franco Cardin, University of Padua.

Keywords

Poisson Bracket Symplectic Form Symplectic Manifold Cotangent Bundle Eikonal Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Dipartimento di Matematica Facoltà di Scienze Matematiche, Fisiche e NaturaliUniversità di TorinoTorinoItaly

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