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Local rigidity for symplectic billiards

math.DS · 2025-01-15 · accept · novelty 7.0

Near any ellipse, rational integrability of the symplectic billiard map forces the domain to be an ellipse.

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  • Local rigidity for symplectic billiards math.DS · 2025-01-15 · accept · none · ref 1

    Near any ellipse, rational integrability of the symplectic billiard map forces the domain to be an ellipse.