Uniqueness of the Fisher–Rao metric on the space of smooth densities

Abstract

Ownership of Bulletin of the London Mathematical Society passed from Oxford University Press to Wiley-Blackwell. This is the peer reviewed version of the following article: Bauer, M., Bruveris, M., & Michor, P. W. (2016). Uniqueness of the Fisher–Rao metric on the space of smooth densities. Bulletin of the London Mathematical Society, 48(3), 499-506, which has been published in final form at https://doi.org/10.1112/blms/bdw020. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.