The Morse index theorem for mechanical systems with reflections
classification
🧮 math.DG
math-phmath.CAmath.DSmath.MP
keywords
boundaryindexmorsetheoremactionallowedconditionseither
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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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