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On parallelism of half-lightlike submanifolds of indefinite Kenmotsu manifolds - MaRDI portal

On parallelism of half-lightlike submanifolds of indefinite Kenmotsu manifolds (Q2260767)

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On parallelism of half-lightlike submanifolds of indefinite Kenmotsu manifolds
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    On parallelism of half-lightlike submanifolds of indefinite Kenmotsu manifolds (English)
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    12 March 2015
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    Summary: We mainly investigate the parallelism of half-lightlike submanifolds of indefinite Kenmotsu manifolds. It is proved that a tangential half-lightlike submanifold \(M\) of an indefinite Kenmotsu space form \((\overline M(c), \overline g)\) with semiparallel second fundamental form \(h\) either satisfies \(c=-1\) or is \((\overline J(\operatorname {Rad}(TM)),TM)\)-mixed geodesic.
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    semiparallel
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    second fundamental form
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    mixed geodesic
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