Minkowski symmetrizations of star shaped sets

Minkowski symmetrizations of star shaped sets

We provide sharp upper bounds for the number of symmetrizations required to transform a star shaped set in R n arbitrarily close (in the Hausdorff metric) to the Euclidean ball.

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Veröffentlicht in:Geometriae dedicata 2016-10, Vol.184 (1), p.115-119
Hauptverfasser: Florentin, D. I., Segal, A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Topology
Upper bounds
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Beschreibung
Zusammenfassung:We provide sharp upper bounds for the number of symmetrizations required to transform a star shaped set in R n arbitrarily close (in the Hausdorff metric) to the Euclidean ball.
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-016-0159-z