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math.DG2017★ 5 cited
Geometric mean of probability measures and geodesics of Fisher information metric
Mitsuhiro Itoh, Hiroyasu Satoh
The space of all probability measures having positive density function on a connected compact smooth manifold , denoted by , carries the Fisher information metri…
math.DG2017★ 2 cited
Hessian of Busemann functions and rank of Hadamard manifolds
Mitsuhiro Itoh, Sinwhi Kim, JeongHyeong Park +1
In this article we show that every geodesic is rank one and the Hessian of Busemann functions is positive definite for a harmonic Damek-Ricci space, a two step solvable Lie group w…