A smooth sphere metric and a curve-shrinking flow are built so that different sequences of times pull the flow to different closed geodesics, refuting the Grayson-Gage uniqueness conjecture.
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Non-uniqueness of geodesic limits and a question of Grayson and Gage
A smooth sphere metric and a curve-shrinking flow are built so that different sequences of times pull the flow to different closed geodesics, refuting the Grayson-Gage uniqueness conjecture.