Lightlike submanifolds of indefinite quartenion Kaehler manifolds

• Autorzy: Sahin B.
• Języki publikacji: EN

Abstrakty

EN

We define and study both screen QR-lightlike and screen CR-lightlike submanifolds of an indefinite quaternion Kaehler manifold. We show that screen QR-lightlike submanifolds include quaternion submanifolds and screen CR-lightlike submanifolds include quaternion as well as screen real lightlike submanifolds. We also give some examples of screen QR-lightlike and screen CR-lightlike submanifolds.

Słowa kluczowe

EN

Kaehler manifold; Sasakian manifold; degenerate metric

PL

rozmaitość Kahlera; rozmaitość Sasakiana; degeneracja metryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 3
• Strony: 701--720
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Sahin B.

• Department of Mathematics Inonu University 44280, Malatya, Turkey,

Bibliografia

• [1] A. Bejancu, Geometry of CR-Submanifolds, Kluwer, Dortrecht, (1986).
• [2] A. Bejancu, QR-submanifolds of quaternion Kaehlerian manifolds, Chinese J. Math. 14, no. 2, (1986), 81-94.
• [3] A. Bejancu and K. L. Duggal, Lightlike submanifolds of semi-Riemannian manifolds, Acta Appl. Math. 38, no. 2, (1995), 197-215.
• [4] K. L. Duggal and A. Bejancu, Lightlike submanifolds of codimension two, Math. J. Toyama Univ. 15 (1992), 59-82.
• [5] K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and its Applications, Kluwer, Dortrecht, (1996).
• [6] K. L. Duggal and D. H. Jin, Totally umbilical lightlike submanifolds, Kodai Math. J. 26, no. 1, (2003), 49-68.
• [7] K. L. Duggal and B. Sahin, Screen Cauchy Riemann lightlike submanifolds, Acta Math. Hungarica., no. 1-2, 106 (2005), 137-165.
• [8] D. N. Kupel i, Singular Semi-Riemannian Geometry, Kluwer, Dortrecht, (1996).
• [9] B. Sahin and R. Gunes, Lightlike real hypersurfaces of indefinite quaternion Kaehler manifolds, J. Geom. 75, no. 1-2, (2002), 151-165.
• [10] B. Sahin, QR-lightlike submanifolds of indefinite quaternion Kaehler manifold, Indian J. Pure Appl. Math. 33, no. 11, (2002), 1685-1706.
• [11] K. Yano and M. Kon, CR-Submanifolds of Kaehlerian and Sasakian Manifolds, Birkhauser,(1983).