A note on petty’s theorem

Michele Marini; Guido De Philippis

doi:10.2996/kmj/1414674610

A note on petty’s theorem

Michele Marini, Guido De Philippis

Mathematics

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

Abstract

In this short note we show how, by exploiting the regularity theory for solutions to the Monge-Ampère equation, Petty’s equation characterizes ellipsoids without assuming any a priori regularity assumption.

Original language	English (US)
Pages (from-to)	586-594
Number of pages	9
Journal	Kodai Mathematical Journal
Volume	37
Issue number	3
DOIs	https://doi.org/10.2996/kmj/1414674610
State	Published - 2014

Keywords

Affine inequalities
Convex bodies
Monge-ampère

ASJC Scopus subject areas

General Mathematics

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title = "A note on petty{\textquoteright}s theorem",

abstract = "In this short note we show how, by exploiting the regularity theory for solutions to the Monge-Amp{\`e}re equation, Petty{\textquoteright}s equation characterizes ellipsoids without assuming any a priori regularity assumption.",

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author = "Michele Marini and {De Philippis}, Guido",

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publisher = "Tokyo Institute of Technology",

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AU - De Philippis, Guido

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A note on petty’s theorem

Abstract

Keywords

ASJC Scopus subject areas

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