On the principle of stationary isoeneretic action
Bozidar Jovanovic
TL;DR
This paper explores various formulations of Maupertuis' principle within different symplectic manifold frameworks, advancing the theoretical understanding of stationary isoenergetic action in classical mechanics.
Contribution
It introduces multiple variants of Maupertuis' principle applicable to both exact and non-exact symplectic manifolds, broadening the principle's mathematical scope.
Findings
New variants of Maupertuis' principle are formulated.
The principles are applicable to a wider class of symplectic manifolds.
Theoretical insights into stationary isoenergetic action are provided.
Abstract
We present several variants of the Maupertuis principle, both on the exact and the non exact symplectic manifolds.
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