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Statements

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dbr:List_of_conjectures
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dbr:Filling_area_conjecture
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Filling area conjecture
rdfs:comment
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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dbc:Unsolved_problems_in_geometry dbc:Surfaces dbc:Differential_geometry_of_surfaces dbc:Conjectures dbc:Systolic_geometry dbc:Riemannian_geometry dbc:Differential_geometry dbc:Area
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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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