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About: Mahler volume     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatGeometricInequalities, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Attribute100024264yago:Difference104748836yago:Inequality104752221yago:Quality104723816yago:WikicatGeometricInequalities New Facet based on Instances of this Class

In convex geometry, the Mahler volume of a centrally symmetric convex body is a dimensionless quantity that is associated with the body and is invariant under linear transformations. It is named after German-English mathematician Kurt Mahler. It is known that the shapes with the largest possible Mahler volume are the balls and solid ellipsoids; this is now known as the Blaschke–Santaló inequality. The still-unsolved Mahler conjecture states that the minimum possible Mahler volume is attained by a hypercube.