An extension of a result by Lonke to intersection bodies |
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Authors: | M. Angeles Alfonseca |
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Affiliation: | Department of Mathematics, North Dakota State University, P.O. Box 6050, Fargo, ND, United States |
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Abstract: | In this paper we prove that intersection bodies cannot be direct sums using Fourier analytic techniques. This extends a result by Lonke. We also prove a necessary regularity condition and a convexity condition for a body of revolution to be an intersection body of a star body. |
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Keywords: | Intersection bodies Bodies of revolution |
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