A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature
Joint Authors
Sun, Huafei
Li, Didong
Cao, Limei
Zhang, Erchuan
Zhang, Zhenning
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-30
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
we analyze the geometrical structures of statisticalmanifold S consisting of all the wrapped Cauchy distributions.
We prove that S is a simplyconnected manifold with constant negative curvature K=-2.
However, it is not isometric tothe hyperbolic space because S is noncomplete.
In fact, S is approved to be a cohomogeneityone manifold.
Finally, we use several tricks to get the geodesics and explore the divergenceperformance of them by investigating the Jacobi vector field.
American Psychological Association (APA)
Cao, Limei& Li, Didong& Zhang, Erchuan& Zhang, Zhenning& Sun, Huafei. 2014. A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034231
Modern Language Association (MLA)
Cao, Limei…[et al.]. A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature. Advances in Mathematical Physics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1034231
American Medical Association (AMA)
Cao, Limei& Li, Didong& Zhang, Erchuan& Zhang, Zhenning& Sun, Huafei. A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034231
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034231