Geodesic
Kähler-Norden structures on statistical manifolds
Filomat, Tome 36 (2022) no. 17, p. 5691

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DOI

In this paper, we construct Kähler-Norden statistical structures on pseudo-Riemannian manifolds equipped with a torsion-free linear connection and an almost complex structure. Also, we present some examples and study curvature properties for these structures by using Tachibana operator. Finally, we consider a Norden statistical manifold and study Codazzi coupling of its connection with the almost complex structure on it.
DOI : 10.2298/FIL2217691P
Classification : 17A30, 17D25, 53C15, 53D05
Keywords: Holomorphic tensor field, holomorphic Norden statistical manifold, Kähler Norden statistical manifold 
Esmaeil Peyghan; Aydin Gezer; Leila Nourmohammadifar. Kähler-Norden structures on statistical manifolds. Filomat, Tome 36 (2022) no. 17, p. 5691 . doi: 10.2298/FIL2217691P
@article{10_2298_FIL2217691P,
     author = {Esmaeil Peyghan and Aydin Gezer and Leila Nourmohammadifar},
     title = {K\"ahler-Norden structures on statistical manifolds},
     journal = {Filomat},
     pages = {5691 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217691P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217691P/}
}
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