Research Article
BibTex RIS Cite
Year 2016, Volume: 9 Issue: 1, 70 - 77, 30.04.2016
https://doi.org/10.36890/iejg.591894

Abstract

References

  • [1] Duggal, Krishan L. and S¸ ahin, B., Differential geometry of lightlike submanifolds. Frontiers in Mathematics. Birkháuser Verlag, Basel, 2010. [2] Krishan L. Duggal and Aurel Bejancu. Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications ( Kluwer Academic Publıshers,Vol.364)
  • [3] Feyza E. Erdogan, Rı fat Gunes and Bayram Sahin . Half-lightlike submanifold with planar normal sections in R4 Turk. J. Math. Vol.38,(2014), 764-777
  • 4] Feyza E. Erdogan, Bayram Sahin and Rıfat Gunes. Lightlike surfaces with planar normal section in minkowski 3-space I˙nt. Electron. J. Geom.. Vol.7, no.1,2014)
  • [5] Bang-yen Chen. Classification of Surfaces with Planar Normal Sections. Journal of Geometry Vol.20 (1983) 122-127
  • [6] Young Ho Kim. Pseudo-Riemannian Submanifolds with Pointwise Planar Normal Sections. Math. J. Okayama Univ.34 (1992), 249-257
  • [7] Mehmet Atceken and Erol Kilic. Semi- invariant lightlike Submanifolds of a semi-Riemannian Product manifold. Kodai Math. J. 30,(2007), 361-378
  • [8] Erol Kilic, Bayram Sahin and Sadık Keles. Screen Semi invariant lightlike submanifolds of semi-Riemannian Product manifolds, Int. Electron. J. Geom.Vol.4 No.2, (2011), 120-135
  • [9] Rıfat Günes¸, Bayram S¸ ahin and Erol Kılıç. On Lightlike hypersurfaces of a semi-Riemann space form, Turk J.Math. Vol.27(2003), 283-297
  • [10] Kadri Arslan, Noktasal düzlemsel normal kesitlerle immersiyonlar, Geometri ABD. Uludağ Ünv. Fen Bilimleri Enstitüsü, Bursa Y.L.Tezi,1988

Lightlike Submanifolds with Planar Normal Section in Semi Riemannian Product Manifolds

Year 2016, Volume: 9 Issue: 1, 70 - 77, 30.04.2016
https://doi.org/10.36890/iejg.591894

Abstract

In the present paper we give conditions for screen semi invariant lightlike submanifolds of a semi-
Riemannian product manifold to have degenerate planar normal sections. Also we give sufficient
and efficient conditions for screen invariant and screen anti invariant lightlike submanifold of a
semi-Riemanniann product manifold to have non-degenerate planar normal sections.

References

  • [1] Duggal, Krishan L. and S¸ ahin, B., Differential geometry of lightlike submanifolds. Frontiers in Mathematics. Birkháuser Verlag, Basel, 2010. [2] Krishan L. Duggal and Aurel Bejancu. Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications ( Kluwer Academic Publıshers,Vol.364)
  • [3] Feyza E. Erdogan, Rı fat Gunes and Bayram Sahin . Half-lightlike submanifold with planar normal sections in R4 Turk. J. Math. Vol.38,(2014), 764-777
  • 4] Feyza E. Erdogan, Bayram Sahin and Rıfat Gunes. Lightlike surfaces with planar normal section in minkowski 3-space I˙nt. Electron. J. Geom.. Vol.7, no.1,2014)
  • [5] Bang-yen Chen. Classification of Surfaces with Planar Normal Sections. Journal of Geometry Vol.20 (1983) 122-127
  • [6] Young Ho Kim. Pseudo-Riemannian Submanifolds with Pointwise Planar Normal Sections. Math. J. Okayama Univ.34 (1992), 249-257
  • [7] Mehmet Atceken and Erol Kilic. Semi- invariant lightlike Submanifolds of a semi-Riemannian Product manifold. Kodai Math. J. 30,(2007), 361-378
  • [8] Erol Kilic, Bayram Sahin and Sadık Keles. Screen Semi invariant lightlike submanifolds of semi-Riemannian Product manifolds, Int. Electron. J. Geom.Vol.4 No.2, (2011), 120-135
  • [9] Rıfat Günes¸, Bayram S¸ ahin and Erol Kılıç. On Lightlike hypersurfaces of a semi-Riemann space form, Turk J.Math. Vol.27(2003), 283-297
  • [10] Kadri Arslan, Noktasal düzlemsel normal kesitlerle immersiyonlar, Geometri ABD. Uludağ Ünv. Fen Bilimleri Enstitüsü, Bursa Y.L.Tezi,1988
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Feyza Esra Erdoğan

Cumali Yıldırım

Publication Date April 30, 2016
Published in Issue Year 2016 Volume: 9 Issue: 1

Cite

APA Erdoğan, F. E., & Yıldırım, C. (2016). Lightlike Submanifolds with Planar Normal Section in Semi Riemannian Product Manifolds. International Electronic Journal of Geometry, 9(1), 70-77. https://doi.org/10.36890/iejg.591894
AMA Erdoğan FE, Yıldırım C. Lightlike Submanifolds with Planar Normal Section in Semi Riemannian Product Manifolds. Int. Electron. J. Geom. April 2016;9(1):70-77. doi:10.36890/iejg.591894
Chicago Erdoğan, Feyza Esra, and Cumali Yıldırım. “Lightlike Submanifolds With Planar Normal Section in Semi Riemannian Product Manifolds”. International Electronic Journal of Geometry 9, no. 1 (April 2016): 70-77. https://doi.org/10.36890/iejg.591894.
EndNote Erdoğan FE, Yıldırım C (April 1, 2016) Lightlike Submanifolds with Planar Normal Section in Semi Riemannian Product Manifolds. International Electronic Journal of Geometry 9 1 70–77.
IEEE F. E. Erdoğan and C. Yıldırım, “Lightlike Submanifolds with Planar Normal Section in Semi Riemannian Product Manifolds”, Int. Electron. J. Geom., vol. 9, no. 1, pp. 70–77, 2016, doi: 10.36890/iejg.591894.
ISNAD Erdoğan, Feyza Esra - Yıldırım, Cumali. “Lightlike Submanifolds With Planar Normal Section in Semi Riemannian Product Manifolds”. International Electronic Journal of Geometry 9/1 (April 2016), 70-77. https://doi.org/10.36890/iejg.591894.
JAMA Erdoğan FE, Yıldırım C. Lightlike Submanifolds with Planar Normal Section in Semi Riemannian Product Manifolds. Int. Electron. J. Geom. 2016;9:70–77.
MLA Erdoğan, Feyza Esra and Cumali Yıldırım. “Lightlike Submanifolds With Planar Normal Section in Semi Riemannian Product Manifolds”. International Electronic Journal of Geometry, vol. 9, no. 1, 2016, pp. 70-77, doi:10.36890/iejg.591894.
Vancouver Erdoğan FE, Yıldırım C. Lightlike Submanifolds with Planar Normal Section in Semi Riemannian Product Manifolds. Int. Electron. J. Geom. 2016;9(1):70-7.