Research Article

Some Types of Null Hypersurfaces

Volume: 7 Number: 1 January 15, 2019
TR EN

Some Types of Null Hypersurfaces

Abstract

In this article, we introduce and study three types of null hypersurfaces of a para-Sasakian manifold which are called re-current, Lie re-current and Hopf null hypersurfaces. Also, we obtain some results on such hypersurfaces.

Keywords

References

  1. K.L. Duggal and A. Bejancu, Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and Its Applications (1996), Kluwer Publisher.
  2. K.L. Duggal and B. Şahin, Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds, Acta Math. Hungarica 112 (2006), 107-130.
  3. K. L. Duggal and B. Şahin, “Lightlike submanifolds of indefinite Sasakian manifolds”, Int. J. Math. and Math. Sci., Article ID 57585, 2007.
  4. K.L. Duggal and B. Şahin, Differential geometry of lightlike submanifolds, (2010), Frontiers in Mathematics.
  5. G.J. Galloway, Lecture notes on spacetime geometry, Beijing Int. Math. Research Center (2007), 1-55.
  6. B. E. Acet, S. Yüksel Perktaş and E. Kılıç, “Symmetric lightlike hypersurfaces of a para-Sasakian space form”, Analele Stiintifice Ale Universitatii Al. I. Cuza Iasi (N.S.), vol 2, pp. 915-926, 2016.
  7. R. Kumar and R. K. Nagaich, “Characteriztion of GCR-lightlike warped product of indefinite cosympletic manifolds”, Novi Sad J. Math.,vol 42, pp. 111-126, 2012.
  8. D. H. Jin, “Special lightlike hypersurfaces of indefinite Kaehler manifolds”, Filomat, vol 30, pp. 1919-1930, 2016.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Bilal Eftal Acet
ADIYAMAN ÜNİVERSİTESİ
Türkiye

Publication Date

January 15, 2019

Submission Date

October 30, 2017

Acceptance Date

September 28, 2018

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Acet, B. E. (2019). Some Types of Null Hypersurfaces. Academic Platform - Journal of Engineering and Science, 7(1), 33-38. https://doi.org/10.21541/apjes.347733
AMA
1.Acet BE. Some Types of Null Hypersurfaces. APJES. 2019;7(1):33-38. doi:10.21541/apjes.347733
Chicago
Acet, Bilal Eftal. 2019. “Some Types of Null Hypersurfaces”. Academic Platform - Journal of Engineering and Science 7 (1): 33-38. https://doi.org/10.21541/apjes.347733.
EndNote
Acet BE (January 1, 2019) Some Types of Null Hypersurfaces. Academic Platform - Journal of Engineering and Science 7 1 33–38.
IEEE
[1]B. E. Acet, “Some Types of Null Hypersurfaces”, APJES, vol. 7, no. 1, pp. 33–38, Jan. 2019, doi: 10.21541/apjes.347733.
ISNAD
Acet, Bilal Eftal. “Some Types of Null Hypersurfaces”. Academic Platform - Journal of Engineering and Science 7/1 (January 1, 2019): 33-38. https://doi.org/10.21541/apjes.347733.
JAMA
1.Acet BE. Some Types of Null Hypersurfaces. APJES. 2019;7:33–38.
MLA
Acet, Bilal Eftal. “Some Types of Null Hypersurfaces”. Academic Platform - Journal of Engineering and Science, vol. 7, no. 1, Jan. 2019, pp. 33-38, doi:10.21541/apjes.347733.
Vancouver
1.Bilal Eftal Acet. Some Types of Null Hypersurfaces. APJES. 2019 Jan. 1;7(1):33-8. doi:10.21541/apjes.347733