Electronic Resource
Springer
Geometriae dedicata
30 (1989), S. 223-234
ISSN:
1572-9168
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00181554
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