Research Article

Product of statistical manifolds with a non-diagonal metric

Volume: 5 Number: 3 July 1, 2017
  • Djelloul Djebbouri *
  • Seddik Ouakkas
EN

Product of statistical manifolds with a non-diagonal metric

Abstract


Keywords

References

  1. Amari, S., Differential-geometrical Methods in statistics, Lecture Notes in statistics, 28, Springer, Berlin, 1985.55.
  2. S. Amari, H. Nagaoka, Methods of information geometry, Amer. Math.Soc., Providence; Oxford University Press, Oxford, 2000.
  3. 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.
  4. R. L. Bishop and B. O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49.
  5. Furuhata, H., Hypersurfaces in statistical manifolds, Diff. Geom. Appl., 27, 2009, 420-429.55.
  6. R. Nasri, Non-diagonal metric on a product riemannian manifold, arXiv: 1501.00308, 2015.
  7. R. Nasri and M. Djaa, Sur la courbure des variétés riemanniennes produits, Sciences et Technologie, A-24 (2006), 15-20.
  8. B. O’Neill, Semi-Riemannian geometry, Academic Press, New-York, 1983.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Djelloul Djebbouri * This is me
Algeria

Seddik Ouakkas This is me
Algeria

Publication Date

July 1, 2017

Submission Date

December 12, 2015

Acceptance Date

December 8, 2016

Published in Issue

Year 2017 Volume: 5 Number: 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. https://izlik.org/JA57NG98RG
AMA
1.Djebbouri D, Ouakkas S. Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences. 2017;5(3):308-321. https://izlik.org/JA57NG98RG
Chicago
Djebbouri, Djelloul, and Seddik Ouakkas. 2017. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences 5 (3): 308-21. https://izlik.org/JA57NG98RG.
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
[1]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, July 2017, [Online]. Available: https://izlik.org/JA57NG98RG
ISNAD
Djebbouri, Djelloul - Ouakkas, Seddik. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences 5/3 (July 1, 2017): 308-321. https://izlik.org/JA57NG98RG.
JAMA
1.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, July 2017, pp. 308-21, https://izlik.org/JA57NG98RG.
Vancouver
1.Djelloul Djebbouri, Seddik Ouakkas. Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):308-21. Available from: https://izlik.org/JA57NG98RG