Geodesic
Optimizations on Statistical Hypersurfaces with Casorati Curvatures
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 449

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
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     author = {Aliya Naaz Siddiqui and Mohammad Hasan Shahid},
     title = {Optimizations on {Statistical} {Hypersurfaces} with {Casorati} {Curvatures}},
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     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/