A classification of some unit Lorentz balls as non-intersection bodies
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Abstract:
We show that the unit ball of the $n$-dimensional Lorentz space $\ell _{w,q}^n$ is not an intersection body for $q>2$ and $n\ge 5$.References
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Additional Information
- Patrick Spencer
- Affiliation: Department of Mathematics, 202 Mathematical Sciences Building, University of Missouri, Columbia, Missouri 65211
- Email: patrick.spencer@mail.mizzou.edu
- Received by editor(s): December 2, 2011
- Received by editor(s) in revised form: April 5, 2012, and April 17, 2012
- Published electronically: November 4, 2014
- Additional Notes: The author would like to thank Alexander Koldobsky for all his guidance and support throughout this paper.
- Communicated by: Thomas Schlumprecht
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 1211-1220
- MSC (2010): Primary 52A20; Secondary 42A38, 42A82, 46F12
- DOI: https://doi.org/10.1090/S0002-9939-2014-11821-1
- MathSciNet review: 3293736