International Mathematics Research Notices

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn044, 31 pages, doi:10.1093/imrn/rnn044 published on May 6, 2008

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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

A Brunn–Minkowski Inequality for Symplectic Capacities of Convex Domains

Shiri Artstein-Avidan¹ and Yaron Ostrover²

¹ School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
² Department of Mathematics, MIT, Cambridge, MA 02139, USA

Correspondence: Correspondence to be sent to: ostrover{at}math.mit.edu

In this work, we prove a Brunn–Minkowski-type inequality in the context of symplectic geometry and discuss some of its applications.

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The first and second named authors were both partially supported by BSF grant no. 2006079. This first named author was partially supported by the ISF grant No. 865/07, and the second named author was partially supported by NSF grant DMS-0706976.

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This Article Abstract Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to My Personal Archive Download to citation manager Request Permissions How to cite this article Google Scholar Articles by Artstein-Avidan, S. Articles by Ostrover, Y. Social Bookmarking          What's this?