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Homothetic floating bodies
Authors:Carsten Schütt  Elisabeth Werner
Institution:(1) Mathematisches Seminar, Christian-Albrechts-Universität, 24118 Kiel, Germany;(2) Department of Mathematics, Oklahoma State University, 74078 Stillwater, Oklahoma, USA;(3) UFR de Mathématiques, Université de Lille Flandres Artois, 59655 Villeneuve d'Ascq, France;(4) Department of Mathematics, Case Western Reserve University, 44106 Cleveland, Ohio, USA
Abstract:We show that a convex bodyK in Ropf n is homothetic to an ellipsoid if there is a sequence {delta k }kepsiNopf converging to 0 so thatK is homothetic to its floating bodiesK deltak.Supported by NSF grant DMS-9108003.
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