On Tonelli periodic orbits with low energy on surfaces
@article{Asselle2016OnTP, title={On Tonelli periodic orbits with low energy on surfaces}, author={Luca Asselle and Marco Mazzucchelli}, journal={Transactions of the American Mathematical Society}, year={2016} }
<p>We prove that on a closed surface, a Lagrangian system defined by a Tonelli Lagrangian <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L">
<mml:semantics>
<mml:mi>L</mml:mi>
<mml:annotation encoding="application/x-tex">L</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> possesses a periodic orbit that is a local minimizer of the free-period action functional on every energy level belonging to the…
13 Citations
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