Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Inequalities for mixed projection bodies

Author: Erwin Lutwak
Journal: Trans. Amer. Math. Soc. 339 (1993), 901-916
MSC: Primary 52A39; Secondary 52A40
MathSciNet review: 1124171
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Abstract: Mixed projection bodies are related to ordinary projection bodies (zonoids) in the same way that mixed volumes are related to ordinary volume. Analogs of the classical inequalities from the Brunn-Minkowski Theory (such as the Minkowski, Brunn-Minkowski, and Aleksandrov-Fenchel inequalities) are developed for projection and mixed projection bodies.

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Keywords: Zonoids, projection bodies, mixed volumes
Article copyright: © Copyright 1993 American Mathematical Society