Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds
Keyword(s):
In this article, we obtain certain bounds for statistical curvatures of submanifolds with any codimension of Kenmotsu-like statistical manifolds. In this context, we construct a class of optimum inequalities for submanifolds in Kenmotsu-like statistical manifolds containing the normalized scalar curvature and the generalized normalized Casorati curvatures. We also define the second fundamental form of those submanifolds that satisfy the equality condition. On Legendrian submanifolds of Kenmotsu-like statistical manifolds, we discuss a conjecture for Wintgen inequality. At the end, some immediate geometric consequences are stated.
2011 ◽
Vol 54
(1)
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pp. 67-75
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2011 ◽
Vol 22
(01)
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pp. 131-143
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2009 ◽
Vol 51
(2)
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pp. 413-423
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2000 ◽
Vol 24
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pp. 43-48
2009 ◽
Vol 109A
(2)
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pp. 187-200
Keyword(s):
2019 ◽
Vol 16
(03)
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pp. 401-442