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| has gloss | eng: In mathematics, in Riemannian geometry, Mikhail Gromov's filling area conjecture asserts that among all possible fillings of the Riemannian circle of length 2π by a surface with the strongly isometric property, the round hemisphere has the least area. Here the Riemannian circle refers to the unique closed 1-dimensional Riemannian manifold of total 1-volume 2π and Riemannian diameter π. |
| lexicalization | eng: filling area conjecture |
| instance of | e/Area |
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| media:img | Steiner%27s Roman Surface.gif |
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