Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/10741
Title: Uniqueness of the Fisher-Rao metric on the space of smooth densities
Authors: Bauer, M
Bruveris, M
Michor, PW
Keywords: math.DG;58B20, 58D15;math.PR
Issue Date: 2014
Citation: 2014
Abstract: On a closed manifold of dimension greater than one, 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.
URI: http://bura.brunel.ac.uk/handle/2438/10741
ISSN: http://arxiv.org/abs/1411.5577v2
Appears in Collections:Dept of Mathematics Research Papers

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