New higher-order equiaffine invariants

Alina Stancu; Elisabeth Werner

doi:10.1007/s11856-009-0048-3

New higher-order equiaffine invariants

Alina Stancu, Elisabeth Werner

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

8 Scopus citations

Abstract

We introduce new affine invariants for smooth convex bodies. Some sharp affine isoperimetric inequalities are established for the new invariants.

Original language	English (US)
Pages (from-to)	221-235
Number of pages	15
Journal	Israel Journal of Mathematics
Volume	171
Issue number	1
DOIs	https://doi.org/10.1007/s11856-009-0048-3
State	Published - Jul 2009
Externally published	Yes

Bibliographical note

Funding Information:
∗ Partially supported by an NSERC grant and an FRDP grant. ∗∗ Partially supported by an NSF grant, an FRG-NSF grant and a BSF grant. Received May 22, 2007 and in revised form August 13, 2007

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title = "New higher-order equiaffine invariants",

abstract = "We introduce new affine invariants for smooth convex bodies. Some sharp affine isoperimetric inequalities are established for the new invariants.",

author = "Alina Stancu and Elisabeth Werner",

note = "Funding Information: ∗ Partially supported by an NSERC grant and an FRDP grant. ∗∗ Partially supported by an NSF grant, an FRG-NSF grant and a BSF grant. Received May 22, 2007 and in revised form August 13, 2007",

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AU - Werner, Elisabeth

N1 - Funding Information: ∗ Partially supported by an NSERC grant and an FRDP grant. ∗∗ Partially supported by an NSF grant, an FRG-NSF grant and a BSF grant. Received May 22, 2007 and in revised form August 13, 2007

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N2 - We introduce new affine invariants for smooth convex bodies. Some sharp affine isoperimetric inequalities are established for the new invariants.

AB - We introduce new affine invariants for smooth convex bodies. Some sharp affine isoperimetric inequalities are established for the new invariants.

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JO - Israel Journal of Mathematics

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IS - 1

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New higher-order equiaffine invariants

Abstract

Bibliographical note

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