Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds
In present paper, after finding the conditions for the integrability of
various distributions of a GCR-lightlike submanifold of indefinite Kenmotsu manifolds, we prove that there do not exist totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds
other than totally contact geodesic GCR-lightlike submanifolds and
moreover it is a totally geodesic GCR-lightlike submanifold.
Keywords:
Indefinite Kenmotsu manifolds, GCR-lightlike submanifolds, totally contact umbilical GCR-lightlike submanifolds,
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- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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