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Non-intersection bodies, all of whose central sections are intersection bodies

Author(s): M. Yaskina
Journal: Proc. Amer. Math. Soc. 135 (2007), 851-860.
MSC (2000): Primary 52A20, 52A21, 46B20
Posted: September 11, 2006
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Abstract: We construct symmetric convex bodies that are not intersection bodies, but all of their central hyperplane sections are intersection bodies. This result extends the studies by Weil in the case of zonoids and by Neyman in the case of subspaces of $ L_p$.

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Additional Information:

M. Yaskina
Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Address at time of publication: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
Email: yaskinam@math.missouri.edu, myaskina@math.ou.edu

DOI: 10.1090/S0002-9939-06-08530-3
PII: S 0002-9939(06)08530-3
Received by editor(s): May 12, 2005
Received by editor(s) in revised form: October 3, 2005
Posted: September 11, 2006
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2006, American Mathematical Society

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