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Gemischte volumina in Kanalscharen

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Abstract

A canal class of convex bodies inn-dimensional Euclidean space consists of all convex bodies which have the same orthogonal projection on some hyperplane. In such a canal class, improved versions of the general Brunn-Minkowski theorem and of the Aleksandrov-Fenchel inequalities for mixed volumes are valid. Partial results on the equality cases are obtained. As an application, a translation theorem of the Aleksandrov-Fenchel-Jessen type is proved.

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Authors and Affiliations

  1. Mathematisches Institut, Albert-Ludwigs-Universität, albertstraße 23b, D-7800, Freiburg i. Br., F.R.G.

    Rolf Schneider

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  1. Rolf Schneider
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Schneider, R. Gemischte volumina in Kanalscharen. Geom Dedicata 30, 223–234 (1989). https://doi.org/10.1007/BF00181554

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  • DOI: https://doi.org/10.1007/BF00181554

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