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Quadratic integrals of geodesic flow, webs, and integrable billiards

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Abstract

We present a geometric interpretation of integrability of geodesic flow by quadratic integrals in terms of the web theory and construct integrable billiards on surfaces admitting such integrals.

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Geodesic flow, Hexagonal 3-webs, Integrable billiards

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English

Citation

Journal of Geometry and Physics, v. 161.

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