- 97-469 R. Ma\~n\'e
- Lagrangian Flows: The Dynamics of Globally Minimizing Orbits.
Sep 2, 97
(auto. generated ps),
of related papers
Abstract. Excerpt from Ma\~n\'e's unfinished manuscript:
"The objective of this note is to present some results,
to be proved in a forthcoming paper, about certain
special solutions of the Euler-Lagrange equations
on closed manifolds. Our main results extend to time
dependent periodic Lagrangians with minor modifications.
We have chosen the autonomous case because this formally simpler
framework allows to reach more easily the core of our concepts and results.
Moreover the autonomous case exhibits certain special features involving the
energy as a first integral that deserve special attention. They are closely
related to the link found by Carneiro [C] between the energy and Mather's
action function [Ma]."