Product of statistical manifolds with a non-diagonal metric
Year 2017,
Volume: 5 Issue: 3, 308 - 321, 01.07.2017
Djelloul Djebbouri
Seddik Ouakkas
Abstract
References
- Amari, S., Differential-geometrical Methods in statistics, Lecture Notes in statistics, 28, Springer, Berlin, 1985.55.
- S. Amari, H. Nagaoka, Methods of information geometry, Amer. Math.Soc., Providence; Oxford University Press, Oxford, 2000.
- J. K. Beem, P. E. Ehrlich and Th. G. Powell, Warped product manifolds in relativity, Selected Studies: Physics-astrophysics, mathematics, history of science, pp. 41-56, North-Holland, Amesterdam-New York, 1982.
- R. L. Bishop and B. O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49.
- Furuhata, H., Hypersurfaces in statistical manifolds, Diff. Geom. Appl., 27, 2009, 420-429.55.
- R. Nasri, Non-diagonal metric on a product riemannian manifold, arXiv: 1501.00308, 2015.
- R. Nasri and M. Djaa, Sur la courbure des variétés riemanniennes produits, Sciences et Technologie, A-24 (2006), 15-20.
- B. O’Neill, Semi-Riemannian geometry, Academic Press, New-York, 1983.
- Todjihounde, L., Dualistic structures on warped product manifolds, Diff. Geom.-Dyn. Syst. 8, (2006), 278-284.
Year 2017,
Volume: 5 Issue: 3, 308 - 321, 01.07.2017
Djelloul Djebbouri
Seddik Ouakkas
References
- Amari, S., Differential-geometrical Methods in statistics, Lecture Notes in statistics, 28, Springer, Berlin, 1985.55.
- S. Amari, H. Nagaoka, Methods of information geometry, Amer. Math.Soc., Providence; Oxford University Press, Oxford, 2000.
- J. K. Beem, P. E. Ehrlich and Th. G. Powell, Warped product manifolds in relativity, Selected Studies: Physics-astrophysics, mathematics, history of science, pp. 41-56, North-Holland, Amesterdam-New York, 1982.
- R. L. Bishop and B. O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49.
- Furuhata, H., Hypersurfaces in statistical manifolds, Diff. Geom. Appl., 27, 2009, 420-429.55.
- R. Nasri, Non-diagonal metric on a product riemannian manifold, arXiv: 1501.00308, 2015.
- R. Nasri and M. Djaa, Sur la courbure des variétés riemanniennes produits, Sciences et Technologie, A-24 (2006), 15-20.
- B. O’Neill, Semi-Riemannian geometry, Academic Press, New-York, 1983.
- Todjihounde, L., Dualistic structures on warped product manifolds, Diff. Geom.-Dyn. Syst. 8, (2006), 278-284.
There are 9 citations in total.