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On the degree of generating distributions of centrally symmetric convex bodies

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Abstract.

It is shown that for every n≥ 3 there exists a centrally symmetric convex body whose generating distribution has a degree which is at least (n - 2) / 2. This answers a question of Goodey and Weil.

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  1. Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel, , , , , , IL

    Yossi Lonke

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  1. Yossi Lonke
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Received: 9.9.1996; revised version received 10.3.1997.

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Lonke, Y. On the degree of generating distributions of centrally symmetric convex bodies. Arch. Math. 69, 343–349 (1997). https://doi.org/10.1007/s000130050131

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  • DOI: https://doi.org/10.1007/s000130050131

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