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arXiv · 2308.16162

The Morse index theorem for mechanical systems with reflections

Jared Wunsch·Mengxuan Yang·Yuzhou Zou
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Abstract

We prove a Morse index theorem for action functionals on paths that are allowed to reflect at a hypersurface (either in the interior or at the boundary of a manifold). Both fixed and periodic boundary conditions are treated.

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Jared Wunsch, Mengxuan Yang, Yuzhou Zou. 2023-08-30. The Morse index theorem for mechanical systems with reflections. https://doi.org/10.1088/1361-6544%2Fad5636

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