Abstract
We study the relationship between a convex body \({K\subset \mathbb{R}^{n}}\) and the convex floating body K δ inside K. Our results complement recent work of Grigoris Paouris and Elisabeth Werner.
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To my dear sister Anna
Many thanks to Sergey Bobkov, Jill Fresen, John Fresen, Nigel Kalton, Alexander Koldobsky, Elizabeth Meckes, Mark Meckes, Mathieu Meyer, Mark Rudelson and Elisabeth Werner for their comments and/or support, as well as the anonymous referee for making valuable suggestions, including several appropriate references.
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Fresen, D. The floating body and the hyperplane conjecture. Arch. Math. 98, 389–397 (2012). https://doi.org/10.1007/s00013-012-0365-3
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DOI: https://doi.org/10.1007/s00013-012-0365-3