Geodesic
Optimizations on Statistical Hypersurfaces with Casorati Curvatures
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 449 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In the present paper, we study Casorati curvatures for statistical hypersurfaces. We show that the normalized scalar curvature for any real hypersurface (i.e., statistical hypersurface) of a holomorphic statistical manifold of constant holomorphic sectional curvature $k$ is bounded above by the generalized normalized $\delta-$Casorati curvatures and also consider the equality case of the inequality. Some immediate applications are discussed.
Classification : 53C05 49K35, 62B10
Keywords: $\delta-$Casorati curvatures, holomorphic statistical manifold, statistical hypersurfaces, normalized scalar curvature, dual connections 
@article{KJM_2021_45_3_a9,
     author = {Aliya Naaz Siddiqui and Mohammad Hasan Shahid},
     title = {Optimizations on {Statistical} {Hypersurfaces} with {Casorati} {Curvatures}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {449 },
     year = {2021},
     volume = {45},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a9/}
}
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Aliya Naaz Siddiqui; Mohammad Hasan Shahid. Optimizations on Statistical Hypersurfaces with Casorati Curvatures. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 449 . http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a9/