The Santalö-regions of a convex body

Mathieu Meyer; Elisabeth Werner

doi:10.1090/s0002-9947-98-02162-x

The Santalö-regions of a convex body

Mathieu Meyer
, Elisabeth Werner

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

55 Scopus citations

Abstract

Motivated by the Blaschke-Santalo inequality, we define for a convex body K in Rⁿ and for t ∈ R the Santalo-regions S(K, t) of K. We investigate the properties of these sets and relate them to a concept of affine differential geometry, the affine surface area of K.

Original language	English (US)
Pages (from-to)	4569-4591
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	350
Issue number	11
DOIs	https://doi.org/10.1090/s0002-9947-98-02162-x
State	Published - 1998
Externally published	Yes

Keywords

Affine surface area
Blaschke-santalö inequality

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10.1090/s0002-9947-98-02162-x

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title = "The Santal{\"o}-regions of a convex body",

abstract = "Motivated by the Blaschke-Santalo inequality, we define for a convex body K in Rn and for t ∈ R the Santalo-regions S(K, t) of K. We investigate the properties of these sets and relate them to a concept of affine differential geometry, the affine surface area of K.",

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year = "1998",

doi = "10.1090/s0002-9947-98-02162-x",

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T1 - The Santalö-regions of a convex body

AU - Meyer, Mathieu

AU - Werner, Elisabeth

PY - 1998

Y1 - 1998

N2 - Motivated by the Blaschke-Santalo inequality, we define for a convex body K in Rn and for t ∈ R the Santalo-regions S(K, t) of K. We investigate the properties of these sets and relate them to a concept of affine differential geometry, the affine surface area of K.

AB - Motivated by the Blaschke-Santalo inequality, we define for a convex body K in Rn and for t ∈ R the Santalo-regions S(K, t) of K. We investigate the properties of these sets and relate them to a concept of affine differential geometry, the affine surface area of K.

KW - Affine surface area

KW - Blaschke-santalö inequality

UR - https://www.scopus.com/pages/publications/22444453008

UR - https://www.scopus.com/pages/publications/22444453008#tab=citedBy

U2 - 10.1090/s0002-9947-98-02162-x

DO - 10.1090/s0002-9947-98-02162-x

M3 - Article

AN - SCOPUS:22444453008

SN - 0002-9947

VL - 350

SP - 4569

EP - 4591

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 11

ER -

The Santalö-regions of a convex body

Abstract

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