The Gauss Image Problem

Communications on Pure and Applied MathematicsVolume 73, Issue 7 p. 1406-1452 Research ArticleOpen Access The Gauss Image Problem Károly J. Böröczky, Corresponding Author Károly J. Böröczky carlos@renyi.hu Central European University and, Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, H-1053 Budapest, Reáltanodau, 13-15 HungaryEmail: carlos@renyi.huSearch for more papers by this authorErwin Lutwak, Erwin Lutwak erwin@courant.nyu.edu Courant Institute, 251 Mercer St, New York, NY, 10012 USASearch for more papers by this authorDeane Yang, Deane Yang deane.yang@courant.nyu.edu Courant Institute, 251 Mercer St, New York, NY, 10012 USASearch for more papers by this authorGaoyong Zhang, Gaoyong Zhang gaoyong.zhang@courant.nyu.edu Courant Institute, 251 Mercer St, New York, NY, 10012 USASearch for more papers by this authorYiming Zhao, Yiming Zhao yimingzh@mit.edu Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave. Cambridge, MA, 02139 USASearch for more papers by this author Károly J. Böröczky, Corresponding Author Károly J. Böröczky carlos@renyi.hu Central European University and, Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, H-1053 Budapest, Reáltanodau, 13-15 HungaryEmail: carlos@renyi.huSearch for more papers by this authorErwin Lutwak, Erwin Lutwak erwin@courant.nyu.edu Courant Institute, 251 Mercer St, New York, NY, 10012 USASearch for more papers by this authorDeane Yang, Deane Yang deane.yang@courant.nyu.edu Courant Institute, 251 Mercer St, New York, NY, 10012 USASearch for more papers by this authorGaoyong Zhang, Gaoyong Zhang gaoyong.zhang@courant.nyu.edu Courant Institute, 251 Mercer St, New York, NY, 10012 USASearch for more papers by this authorYiming Zhao, Yiming Zhao yimingzh@mit.edu Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave. Cambridge, MA, 02139 USASearch for more papers by this author First published: 06 May 2020 https://doi.org/10.1002/cpa.21898Citations: 11AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. 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