Open Access
2004 Global World Functions
Franco Cardin, Antonio Marigonda
J. Geom. Symmetry Phys. 2: 1-17 (2004). DOI: 10.7546/jgsp-2-2004-1-17


Starting from the Amann-Conley-Zehnder finite reduction framework in the non-compact Viterbo's version we discuss the existence of global generating function with a finite number of auxiliary parameters describing the two-points Characteristic Relation related to the geodesic problem in the Hamiltonian formalism. This applies both to Analytical Mechanics and to General Relativity - we construct a global object generalizing the World Function introduced by Synge, which is well-defined only locally. Whenever the auxiliary parameters can be fully removed, Synge's World Function is restored.


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Franco Cardin. Antonio Marigonda. "Global World Functions." J. Geom. Symmetry Phys. 2 1 - 17, 2004.


Published: 2004
First available in Project Euclid: 20 May 2017

zbMATH: 1086.53088
MathSciNet: MR2115717
Digital Object Identifier: 10.7546/jgsp-2-2004-1-17

Rights: Copyright © 2004 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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