Global Hamilton Principal Functions on \(\mathbb S_2\) and ℍ2
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.
KeywordsPoisson Bracket Symplectic Form Symplectic Manifold Cotangent Bundle Eikonal Equation
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