Product of statistical manifolds with a non-diagonal metric

Araştırma Makalesi

Yıl 2017, Cilt: 5 Sayı: 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.

Yıl 2017, Cilt: 5 Sayı: 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.

Toplam 9 adet kaynakça vardır.

Birincil Dil	İngilizce
Bölüm	Articles
Yazarlar	Djelloul Djebbouri Bu kişi benim Seddik Ouakkas Bu kişi benim
Yayımlanma Tarihi	1 Temmuz 2017
Yayımlandığı Sayı	Yıl 2017 Cilt: 5 Sayı: 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. Temmuz 2017;5(3):308-321.
Chicago	Djebbouri, Djelloul, ve Seddik Ouakkas. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences 5, sy. 3 (Temmuz 2017): 308-21.
EndNote	Djebbouri D, Ouakkas S (01 Temmuz 2017) Product of statistical manifolds with a non-diagonal metric. New Trends in Mathematical Sciences 5 3 308–321.
IEEE	D. Djebbouri ve S. Ouakkas, “Product of statistical manifolds with a non-diagonal metric”, New Trends in Mathematical Sciences, c. 5, sy. 3, ss. 308–321, 2017.
ISNAD	Djebbouri, Djelloul - Ouakkas, Seddik. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences 5/3 (Temmuz 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 ve Seddik Ouakkas. “Product of Statistical Manifolds With a Non-Diagonal Metric”. New Trends in Mathematical Sciences, c. 5, sy. 3, 2017, ss. 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.