Illumination bodies and affine surface area

Werner, Elisabeth

Studia Mathematica, Tome 108 (1994), p. 257-269 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that the affine surface area as(∂K) of a convex body K in $ℝ^{n}$ can be computed as $a s (\partial K) = l i m_{δ \to 0} d_{n} (v o l_{n} (K^{δ}) - v o l_{n} (K)) / (δ^{2 / (n + 1)})$ where $d_{n}$ is a constant and $K^{δ}$ is the illumination body.

Publié le : 1994-01-01

Zbl 0813.52007

EUDML-ID : urn:eudml:doc:216113

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     author = {Elisabeth Werner},
     title = {Illumination bodies and affine surface area},
     journal = {Studia Mathematica},
     volume = {108},
     year = {1994},
     pages = {257-269},
     zbl = {0813.52007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv110i3p257bwm}
}

Werner, Elisabeth. Illumination bodies and affine surface area. Studia Mathematica, Tome 108 (1994) pp. 257-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv110i3p257bwm/

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