Homothetic floating bodies

Carsten Schütt; Elisabeth Werner

doi:10.1007/BF01264033

Homothetic floating bodies

Carsten Schütt
, Elisabeth Werner

Institute for Mathematics and its Applications

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We show that a convex body K in ℝⁿ is homothetic to an ellipsoid if there is a sequence {δ_k}kεℕ converging to 0 so that K is homothetic to its floating bodies K_δk.

Original language	English (US)
Pages (from-to)	335-348
Number of pages	14
Journal	Geometriae Dedicata
Volume	49
Issue number	3
DOIs	https://doi.org/10.1007/BF01264033
State	Published - Mar 1994

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title = "Homothetic floating bodies",

abstract = "We show that a convex body K in ℝn is homothetic to an ellipsoid if there is a sequence \{δk\}kεℕ converging to 0 so that K is homothetic to its floating bodies Kδk.",

author = "Carsten Sch{\"u}tt and Elisabeth Werner",

year = "1994",

month = mar,

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AU - Schütt, Carsten

AU - Werner, Elisabeth

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AB - We show that a convex body K in ℝn is homothetic to an ellipsoid if there is a sequence {δk}kεℕ converging to 0 so that K is homothetic to its floating bodies Kδk.

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JO - Geometriae Dedicata

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Homothetic floating bodies

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