Product of statistical manifolds with a non-diagonal metric

Research Article

Year 2017, Volume: 5 Issue: 3, 308 - 321, 01.07.2017

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

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.

Primary Language	English
Journal Section	Articles
Authors	Djelloul Djebbouri This is me Seddik Ouakkas This is me
Publication Date	July 1, 2017
Published in Issue	Year 2017 Volume: 5 Issue: 3

APA	Djebbouri, D., & Ouakkas, S. (2017). Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences, 5(3), 308-321.
AMA	Djebbouri D, Ouakkas S. Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences. July 2017;5(3):308-321.
Chicago	Djebbouri, Djelloul, and Seddik Ouakkas. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences 5, no. 3 (July 2017): 308-21.
EndNote	Djebbouri D, Ouakkas S (July 1, 2017) Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences 5 3 308–321.
IEEE	D. Djebbouri and S. Ouakkas, “Product of statistical manifolds with a non-diagonal metric”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 308–321, 2017.
ISNAD	Djebbouri, Djelloul - Ouakkas, Seddik. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences 5/3 (July 2017), 308-321.
JAMA	Djebbouri D, Ouakkas S. Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences. 2017;5:308–321.
MLA	Djebbouri, Djelloul and Seddik Ouakkas. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences, vol. 5, no. 3, 2017, pp. 308-21.
Vancouver	Djebbouri D, Ouakkas S. Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences. 2017;5(3):308-21.