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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
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Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2014/832683 |