On Lightlike Hypersurfaces of An Indefinite f-Kenmotsu Space Form

Year 2017, , 10 - 16, 30.10.2017

Yavuz Selim Balkan

https://doi.org/10.36753/mathenot.421727

Abstract

Keywords

Indefinite f-Kenmotsu space form, Lightlike hypersurface, Second fundamental form

References

• [1] Aktan, N., On non-existence of lightlike hypersurfaces of indefinite Sasakian space form. Inter. J. Math. Statistic. 3 (A08) (2008), 12-21.
• [2] Aktan, N., On non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form. Turk. J. Math. 32 (2008), 127-139.
• [3] Bejancu, A., Null hypersurfaces in semi-Euclidean space. Saitama Math. J. 14 (1996), 25-40.
• [4] Duggal, K. L. and Bejancu, A., Lightlike submanifolds of semi-Riemannian manifolds and its applications, Kluwer Dortrecth, 1996.
• [5] Güneş R., Şahin, B. and Kılıç, E., On Lightlike hypersurfaces of a semi-Riemannian space form. Turk. J. Math., 27 (2003).
• [6] Kang, T. H., Jung, S. D., Kim, B. H., Pak, H. K. and Pak, J. S., Lightlike hypersurfaces of indefinite Sasakian manifolds. Indian J. Pure App. Math., 34 (2003), 1369-1380.
• [7] Olszak, Z., Locally conformal almost cosymplectic manifolds. Coll. Math. LVII (1989), no. 1, 73-87.
• [8] O’Neill, B., Semi-Riemannian geometry, AcademicPress, 1983.
• [9] Duggal, K. L. and Sahin, B., Differential geometry of lightlike submanifolds, Birkhäuser, 2010.
• [10] Sahin, B. and Güneş, R., Non-existence of real lightlike hypersurfaces of an indefinite complex space form. Balkan J. Geom. Appl. 5 (2000), no. 2, 139-148.