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changed "three closed" to "three simple closed"
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user5810
user5810

Ellipsoids with almost but not quite equal axes have exactly three simple closed geodesics.

Ellipsoids with almost but not quite equal axes have exactly three closed geodesics.

Ellipsoids with almost but not quite equal axes have exactly three simple closed geodesics.

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Igor Rivin
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Ellipsoids with almost but not quite equal axes have exactly three closed geodesics.