Geodesic
On CR-statistical submanifolds of holomorphic statistical manifolds
Filomat, Tome 35 (2021) no. 11, p. 3571

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DOI

In the present paper, we investigate some properties of the distributions involved in the definition of a CR-statistical submanifold. The characterization of a CR-product in holomorphic statistical manifolds is given. By using an optimization technique, we establish a relationship between the Ricci curvature and the squared norm of the mean curvature of any submanifold in the same ambient space. The equality case is also discussed here. This paper finishes with some related examples
DOI : 10.2298/FIL2111571S
Classification : 53B25, 53C15, 53B35, 53C40
Keywords: statistical manifolds, holomorphic statistical manifolds, CR-statistical submanifolds, CR-products, Ricci curvature 
Aliya Naaz Siddiqui; Falleh R Al-Solamy; Mohammad Hasan Shahid; Ion Mihai. On CR-statistical submanifolds of holomorphic statistical manifolds. Filomat, Tome 35 (2021) no. 11, p. 3571 . doi: 10.2298/FIL2111571S
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     title = {On {CR-statistical} submanifolds of holomorphic statistical manifolds},
     journal = {Filomat},
     pages = {3571 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111571S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111571S/}
}
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