QR-lightlike submanifolds of indefinite quaternion Kaehler manifold


Sahin B.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.33, ss.1685-1706, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 33 Konu: 11
  • Basım Tarihi: 2002
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Sayfa Sayıları: 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.