Research Article
BibTex RIS Cite
Year 2015, Volume: 3 Issue: 1, 75 - 85, 15.05.2015
https://doi.org/10.36753/mathenot.421218

Abstract

References

  • [1] Atceken, M., and Kilic, E., Semi Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J. Vol.30, No.3, 361-378, (2007).
  • [2] Bejan, C.L., 2-Codimensional Lightlike Submanifolds of Almost Para-Hermitian Manifolds, Differential Geometry and Applications, 7-17, (1996).
  • [3] Chen, B.Y.: Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds, Monatsh. Math., Vol.133, No.3, 177-195, (2005).
  • [4] Duggal, K.L., Warped Product of Lightlike Manifolds, Nonlinear Anaysis, 47, 3061-3072, (2001).
  • [5] Duggal, K.L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Its Applications, Kluwer, Dortrecht, (1996).
  • [6] Duggal, K.L. and Jin, D.H., Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing Co Pte Ltd, (2007).
  • [7] Duggal, K.L. and Jin, D.H., Totally Umbilical Lightlike Submanifolds, Kodai Math. J., 26, 49-68, (2003).
  • [8] Duggal, K.L. and Sahin, B., Screen Cauchy Riemannian Lightlike Submanifolds, Acta Mathematica Hungarica, 106, 1-2, 125-153, (2005).
  • [9] Duggal, K. L. and Sahin B., Differential Geometry of Lightlike Submanifolds, Springer Birkhauser,2010.
  • [10] Hawking, S.W. and Ellis, G.F.R., The large Scale Structure of Spacetime, Cambridge Univ. Press, Cambridge, (1972)
  • [11] Kilic, E. and Sahin, B., Radical Anti Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds, Turk. J. Math. 32, 429-449, (2008)
  • [12] Kupeli, D.N., Singular semi-Riemannian geometry, kluwe Academic Publishers. 366, (1996)
  • [13] Nomizu, K. and Sasaki, T., Affine Differential Geometry, Cambridge Univ. Press. Cambridge, (1994).
  • [14] O’Neil, B., Semi Riemannian Geometry, Academic Press Inc., (1983).
  • [15] Sahin, B., Warped Product Lightlike Submanifolds, Sarajevo Journal of Mathematics, Vol.1, 14, 251-260, (2005).
  • [16] Senlin, X. and Yilong,N., Submanifolds of Product Riemannian Manifold, Acta Mathematica Scienta, 20(B), 213-218, (2000).
  • [17] Yildirim, C. and Sahin, B., Screen Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds, An. Şt. Univ. Ovidius Constanta, Vol. 18(2), 315-336, (2010

RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS

Year 2015, Volume: 3 Issue: 1, 75 - 85, 15.05.2015
https://doi.org/10.36753/mathenot.421218

Abstract

We study screen transversal lightlike submanifolds of semi-Riemannian
product manifolds. We give examples, investigate the geometry of distributions
and obtain necessary and sufficient conditions for the induced connection on
these submanifolds to be metric connection. We also obtain characterization
of screen transversal anti-invariant lightlike submanifolds.

References

  • [1] Atceken, M., and Kilic, E., Semi Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J. Vol.30, No.3, 361-378, (2007).
  • [2] Bejan, C.L., 2-Codimensional Lightlike Submanifolds of Almost Para-Hermitian Manifolds, Differential Geometry and Applications, 7-17, (1996).
  • [3] Chen, B.Y.: Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds, Monatsh. Math., Vol.133, No.3, 177-195, (2005).
  • [4] Duggal, K.L., Warped Product of Lightlike Manifolds, Nonlinear Anaysis, 47, 3061-3072, (2001).
  • [5] Duggal, K.L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Its Applications, Kluwer, Dortrecht, (1996).
  • [6] Duggal, K.L. and Jin, D.H., Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing Co Pte Ltd, (2007).
  • [7] Duggal, K.L. and Jin, D.H., Totally Umbilical Lightlike Submanifolds, Kodai Math. J., 26, 49-68, (2003).
  • [8] Duggal, K.L. and Sahin, B., Screen Cauchy Riemannian Lightlike Submanifolds, Acta Mathematica Hungarica, 106, 1-2, 125-153, (2005).
  • [9] Duggal, K. L. and Sahin B., Differential Geometry of Lightlike Submanifolds, Springer Birkhauser,2010.
  • [10] Hawking, S.W. and Ellis, G.F.R., The large Scale Structure of Spacetime, Cambridge Univ. Press, Cambridge, (1972)
  • [11] Kilic, E. and Sahin, B., Radical Anti Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds, Turk. J. Math. 32, 429-449, (2008)
  • [12] Kupeli, D.N., Singular semi-Riemannian geometry, kluwe Academic Publishers. 366, (1996)
  • [13] Nomizu, K. and Sasaki, T., Affine Differential Geometry, Cambridge Univ. Press. Cambridge, (1994).
  • [14] O’Neil, B., Semi Riemannian Geometry, Academic Press Inc., (1983).
  • [15] Sahin, B., Warped Product Lightlike Submanifolds, Sarajevo Journal of Mathematics, Vol.1, 14, 251-260, (2005).
  • [16] Senlin, X. and Yilong,N., Submanifolds of Product Riemannian Manifold, Acta Mathematica Scienta, 20(B), 213-218, (2000).
  • [17] Yildirim, C. and Sahin, B., Screen Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds, An. Şt. Univ. Ovidius Constanta, Vol. 18(2), 315-336, (2010
There are 17 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Cumali Yıldırım This is me

Feyza Esra Erdoğan

Publication Date May 15, 2015
Submission Date May 6, 2014
Published in Issue Year 2015 Volume: 3 Issue: 1

Cite

APA Yıldırım, C., & Erdoğan, F. E. (2015). RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Mathematical Sciences and Applications E-Notes, 3(1), 75-85. https://doi.org/10.36753/mathenot.421218
AMA Yıldırım C, Erdoğan FE. RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Math. Sci. Appl. E-Notes. May 2015;3(1):75-85. doi:10.36753/mathenot.421218
Chicago Yıldırım, Cumali, and Feyza Esra Erdoğan. “RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. Mathematical Sciences and Applications E-Notes 3, no. 1 (May 2015): 75-85. https://doi.org/10.36753/mathenot.421218.
EndNote Yıldırım C, Erdoğan FE (May 1, 2015) RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Mathematical Sciences and Applications E-Notes 3 1 75–85.
IEEE C. Yıldırım and F. E. Erdoğan, “RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 75–85, 2015, doi: 10.36753/mathenot.421218.
ISNAD Yıldırım, Cumali - Erdoğan, Feyza Esra. “RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. Mathematical Sciences and Applications E-Notes 3/1 (May 2015), 75-85. https://doi.org/10.36753/mathenot.421218.
JAMA Yıldırım C, Erdoğan FE. RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Math. Sci. Appl. E-Notes. 2015;3:75–85.
MLA Yıldırım, Cumali and Feyza Esra Erdoğan. “RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 1, 2015, pp. 75-85, doi:10.36753/mathenot.421218.
Vancouver Yıldırım C, Erdoğan FE. RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Math. Sci. Appl. E-Notes. 2015;3(1):75-8.

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.