@article{oai:tsukuba.repo.nii.ac.jp:00016749,
author = {伊藤, 光弘 and Itoh, Mitsuhiro and Shishido, Yuichi},
issue = {4},
journal = {Differential geometry and its applications},
month = {Aug},
note = {application/pdf, A complete Riemannian manifold X with negative curvature satisfying −b2less-than-or-equals, slantKXless-than-or-equals, slant−a2<0 for some constants a,b, is naturally mapped in the space of probability measures on the ideal boundary ∂X by assigning the Poisson kernels. We show that this map is embedding and the pull-back metric of the Fisher information metric by this embedding coincides with the original metric of X up to constant provided X is a rank one symmetric space of non-compact type. Furthermore, we give a geometric meaning of the embedding.},
pages = {347--356},
title = {Fisher information metric and Poisson kernels},
volume = {26},
year = {2008}
}