Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
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The purpose of this article is to establish some inequalities concerning the normalized δ-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the type para-Kähler space form. Moreover, this study is focused on the equality cases in these inequalities. Some examples are also provided.
2018 ◽
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pp. 2050040
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2003 ◽
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pp. 539-547
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1998 ◽
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2002 ◽
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2003 ◽
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2019 ◽
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pp. 1950129
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1996 ◽
Vol 48
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pp. 64-80
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