Abstract
Following the concept of normal to a convex body, which is due to Eggleston, we introduce the notion of affine orthogonality with respect to a convex body. In contrast to Eggleston's considerations, we do not need a metric and via this notion we are able to characterize convex bodies of constant width and further interesting classes of convex bodies.
Citation
Javier Alonso. Margarita Spirova. "Characterization of different classes of convex bodies via orthogonality." Bull. Belg. Math. Soc. Simon Stevin 18 (4) 707 - 721, november 2011. https://doi.org/10.36045/bbms/1320763132
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