An integrable deformation of an ellipse of small eccentricity is an ellipse
classification
🧮 math.DS
keywords
smallconjectureeccentricityellipseellipsesintegrablebirkhoffcircles
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The classical Birkhoff conjecture says that the only integrable convex domains are circles and ellipses. In the paper we show that this a version of this conjecture is true for small perturbations of ellipses of small eccentricity.
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