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Some applications of cross-section measures in Minkowski spaces |
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| Authors: | Horst Martini Zokhrab Mustafaev |
| Institution: | (1) Faculty of Mathematics, University of Technology Chemnitz, 09107 Chemnitz, Germany;(2) Department of Mathematics, University of Houston-Clear Lake, Houston, TX 77058 USA |
| Abstract: | Summary The purpose of this paper is to establish extremal values for inner and outer radii of the unit ball of a Minkowski space for the Holmes--Thompson and Busemann measures. Furthermore, we confirm a conjecture of C. A. Rogers and G. C. Shephard on ellipsoids. |
| Keywords: | inner radius intersection body mixed volumes outer radius Minkowski space projection body Busemann volume ellipsoids cross-section measures Holmes--Thompson volume isoperimetrix |
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