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

Limei Cao, Didong Li, Erchuan Zhang, Zhenning Zhang and Huafei Sun

Advances in Mathematical Physics, 2014, vol. 2014, 1-6

Abstract:

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 . However, it is not isometric to the hyperbolic space because S is noncomplete. In fact, S is approved to be a cohomogeneity one manifold. Finally, we use several tricks to get the geodesics and explore the divergence performance of them by investigating the Jacobi vector field.

Date: 2014
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/AMP/2014/832683.pdf (application/pdf)
http://downloads.hindawi.com/journals/AMP/2014/832683.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:832683

DOI: 10.1155/2014/832683

Access Statistics for this article

More articles in Advances in Mathematical Physics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().