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arXiv:2308.16162 [math.DG]AbstractReferencesReviewsResources

The Morse index theorem for mechanical systems with reflections

Jared Wunsch, Mengxuan Yang, Yuzhou Zou

Published 2023-08-30Version 1

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.

Comments: 29 pages, comments are welcome
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