Title: Uniqueness of the Fisher–Rao metric on the space of smooth densities
Abstract: Bulletin of the London Mathematical SocietyVolume 48, Issue 3 p. 499-506 Articles Uniqueness of the Fisher–Rao metric on the space of smooth densities Martin Bauer, Martin Bauer Technische Universität Wien, Institut für Diskrete Mathematik und Geometrie, Wiedner Hauptstr. 8, 1040 Wien, Austria, [email protected] for more papers by this authorMartins Bruveris, Martins Bruveris [email protected] Department of Mathematics, Brunel University London, Uxbridge, UB8 3PH, United KingdomSearch for more papers by this authorPeter W. Michor, Peter W. Michor Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Wien, Austria, [email protected] for more papers by this author Martin Bauer, Martin Bauer Technische Universität Wien, Institut für Diskrete Mathematik und Geometrie, Wiedner Hauptstr. 8, 1040 Wien, Austria, [email protected] for more papers by this authorMartins Bruveris, Martins Bruveris [email protected] Department of Mathematics, Brunel University London, Uxbridge, UB8 3PH, United KingdomSearch for more papers by this authorPeter W. Michor, Peter W. Michor Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Wien, Austria, [email protected] for more papers by this author First published: 27 April 2016 https://doi.org/10.1112/blms/bdw020Citations: 41 [email protected] 2010 Mathematics Subject Classification 58B20, 58D15 (primary). Martin Bauer was supported by ‘Fonds zur Förderung der wissenschaftlichen Forschung, Projekt P 24625’. Read the full textAboutPDF 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. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract On a compact manifold without boundary of dimension greater than 1, every smooth weak Riemannian metric on the space of smooth positive probability densities that is invariant under the action of the diffeomorphism group is a multiple of the Fisher–Rao metric. Citing Literature Volume48, Issue3June 2016Pages 499-506 RelatedInformation