QR-lightlike submanifolds of indefinite quaternion Kaehler manifold

Makaleler > Tam Makale · 2002

Yazarlar: Bayram ŞAHİN

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2002, cilt 33, ss 1685-1706

Özet

This study introduces QR-lightlike submanifold of an indefinite quaternion Kaehler manifold and investigates its some fundamental properties. Necessary and sufficient conditions have been also given for QR-lightlike submanifold to be a mixed totally geodesic and D-totally geodesic after investigating the integrability of distributions defined on QR-lightlike submanifolds. Further, totally umbilical QR-lightlike submanifolds are studied and some theorems are given.

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