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math.DG2026
Invariant statistical connections on the multivariate centered Gaussian model and their moduli spaces
Hideyuki Ishi, Hikozo Kobayashi, Takayuki Okuda
We study invariant statistical connections on the space of zero-mean multivariate normal distributions (the multivariate centered Gaussian model) equipped with th…
math.DG2017
Doubly autoparallel structure on the probability simplex
Atsumi Ohara, Hideyuki Ishi
On the probability simplex, we can consider the standard information geometric structure with the e- and m-affine connections mutually dual with respect to the Fisher metric. The g…
math.DG2010★ 1 cited
Kaehler immersions of homogeneous Kaehler manifolds into complex space forms
Antonio J. Di Scala, Andrea Loi, Hideyuki Ishi
In this paper we study the homogeneous Kaehler manifolds (h.K.m.) which can be Kaehler immersed into finite or infinite dimensional complex space forms. On one hand we completely c…