. . . . "18087"^^ . . . . . . . . . . . . . . "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."@en . "Filling area conjecture"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "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."@en . . . . . "12083818"^^ . . . . . . "951114698"^^ . . . . . . . .