Geodesic
Optimal inequalities for submanifolds in statistical manifolds of quasi constant curvature
Filomat, Tome 35 (2021) no. 10, p. 3319

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DOI

In this paper, we establish B.-Y. Chen's optimal inequalities for statistical submanifolds involving Casorati curvature and the normalized scalar curavture in a statistical manifold of quasi constant curvature. The equality cases of these inequalities are also considered. Further, we provide some applications of our results. Moreover, as a new example we construct minimal statistical surface (statistical submanifold) of a statistical manifold of quasi constant curvature
DOI : 10.2298/FIL2110319B
Classification : 53C05, 53C40, 53A40, 53C15
Keywords: Statistical manifold, quasi constant curvature, dual connections, scalar curvature, sectional curvature 
Pooja Bansal; Siraj Uddin; Mohammad Hasan Shahid. Optimal inequalities for submanifolds in statistical manifolds of quasi constant curvature. Filomat, Tome 35 (2021) no. 10, p. 3319 . doi: 10.2298/FIL2110319B
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     title = {Optimal inequalities for submanifolds in statistical manifolds of quasi constant curvature},
     journal = {Filomat},
     pages = {3319 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110319B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110319B/}
}
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