✦ LIBER ✦

A Characterization of Affine Surface Area

✍ Scribed by Monika Ludwig; Matthias Reitzner

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 239 KB
Volume: 147
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1999.1832

No coin nor oath required. For personal study only.

✦ Synopsis

We show that every upper semicontinuous and equi-affine invariant valuation on the space of d-dimensional convex bodies is a linear combination of affine surface area, volume, and the Euler characteristic.

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