A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature

we analyze the geometrical structures of statistical manifold S consisting of all the wrapped Cauchy distributions. We prove that S is a simply connected manifold with constant negative curvature K=-2. However, it is not isometric to the hyperbolic space because S is noncomplete. In fact, S is appro...

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Bibliographic Details
Main Authors: Limei Cao, Didong Li, Erchuan Zhang, Zhenning Zhang, Huafei Sun
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2014/832683
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