DOI QR코드

DOI QR Code

LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE QUATERNION KAEHLERIAN MANIFOLD

  • 투고 : 2009.05.06
  • 심사 : 2009.12.01
  • 발행 : 2009.12.31

초록

We introduce three classes of quaternion lightlike submanifolds, screen real lightlike submanifolds and CR lightlike submanifolds of an indefinite quaternion Kaehlerian manifold and study the geometry of leaves of their distributions.

키워드

참고문헌

  1. M. Barros, B.Y. Chen and F. Urbano, Quaternion CR-submanifolds of quaternion manifolds, Kodai Math. J. 4 (1981), 399-417. https://doi.org/10.2996/kmj/1138036425
  2. A.Bejancu, Geometry of CR-submanifolds, D. Reidel Publishing Company, (1986).
  3. B.Y. Chen, Totally umbilical submanifolds of quaternion-space-forms, J. Austral. Math. Soc.(Series A) 4 (1978), 154-162.
  4. K.L. Duggal and A. Bejancu, Lightlike submanifolds of semi-Riemannian manifolds and applications, Kluwer Academic Publishers, 366 (1996).
  5. T.H. Kang, Lightlike hypersurfaces of inde nite quaternionic Kaehler manifolds, Indian J. pure appl. Math. 33(12) (2002), 1755-1766.
  6. D.N. Kupeli, Singular semi-Riemannian geometry, Kluwer Academic, Publishers, 366 (1996).
  7. J.D. Perez and F.G. Santos, Indefinite quaternion space forms, Annali di Matematica pura ed appicata(IV), Vol XXXII (1982), 383-398.
  8. K. Yano and M. Kon, Structures on Manifolds, World Scientific, (1984).