Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: M. Yaskina
Journal: Proc. Amer. Math. Soc. 135 (2007), 851-860
MSC (2000): Primary 52A20, 52A21, 46B20
Published electronically: September 11, 2006
MathSciNet review: 2262882
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 52A20, 52A21, 46B20

Retrieve articles in all journals with MSC (2000): 52A20, 52A21, 46B20


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: http://dx.doi.org/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
Published electronically: September 11, 2006
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2006 American Mathematical Society