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Hemi-slant lightlike submanifolds of indefinite Kenmotsu manifolds - MaRDI portal

Hemi-slant lightlike submanifolds of indefinite Kenmotsu manifolds (Q1929864)

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scientific article; zbMATH DE number 6123874
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English
Hemi-slant lightlike submanifolds of indefinite Kenmotsu manifolds
scientific article; zbMATH DE number 6123874

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    Hemi-slant lightlike submanifolds of indefinite Kenmotsu manifolds (English)
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    10 January 2013
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    Summary: We introduce and study hemi-slant light-like submanifolds of an indefinite Kenmotsu manifold. We give an example of hemi-slant light-like submanifold and establish two characterization theorems for the existence of such submanifolds. We prove some theorems which ensure the existence of minimal hemi-slant light-like submanifolds and obtain a condition under which the induced connection \(\nabla\) on \(M\) is a metric connection. An example of a proper minimal hemi-slant light-like submanifold is also given.
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    induced connection
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    proper minimal hemi-slant light-like submanifold
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