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- W3099440386 abstract "Abstract It is known that on a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive densities that is invariant under the action of the diffeomorphism group, is of the form urn:x-wiley:0025584X:media:mana201600523:mana201600523-math-0001 for some smooth functions of the total volume . Here we determine the geodesics and the curvature of this metric and study geodesic and metric completeness." @default.
- W3099440386 created "2020-11-23" @default.
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- W3099440386 date "2018-11-12" @default.
- W3099440386 modified "2023-09-25" @default.
- W3099440386 title "Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold" @default.
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- W3099440386 doi "https://doi.org/10.1002/mana.201600523" @default.
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