Filling area conjecture
In differential geometry, Mikhail Gromov's filling area conjecture asserts that the hemisphere has minimum area among the orientable surfaces that fill a closed curve of given length without introducing shortcuts between its points.
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AreaFilling radiusGromov's filling conjectureGromov's systolic inequality for essential manifoldsHolmes–Thompson volumeHyperelliptic curveList of conjecturesList of differential geometry topicsList of unsolved problems in mathematicsMikhael Gromov (mathematician)Pu's inequalityRiemannian circleSphereSystolic geometry
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Filling area conjecture
In differential geometry, Mikhail Gromov's filling area conjecture asserts that the hemisphere has minimum area among the orientable surfaces that fill a closed curve of given length without introducing shortcuts between its points.
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In differential geometry, Mikh ...... shortcuts between its points.
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In differential geometry, Mikh ...... shortcuts between its points.
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Filling area conjecture
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