Research Article

Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds

Volume: 7 Number: 1 April 30, 2022
EN

Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds

Abstract

In this article, we initiate the study of lightlike hypersurfaces in a poly-Norden semi-Riemannian manifold. We introduce invariant and screen semi-invariant lightlike hypersurfaces of a poly-Norden semi- Riemannian manifold. Also, we give some examples of such hypersurfaces.

Keywords

References

  1. [1] Duggal KL, Bejancu A. Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and Its Applications. Kluwer Publisher, 1996.
  2. [2] Duggal KL, Şahin B. Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds. Acta Math Hungarica. 112, 2006, 107 -– 130.
  3. [3] Duggal KL, Şahin B. Lightlike submanifolds of indefinite Sasakian manifolds. Int J Math and Math Sci. Article ID 57585, 2007.
  4. [4] Duggal KL, Şahin B. Differential geometry of lightlike submanifolds. Frontiers in Mathematics, 2010.
  5. [5] Galloway GJ. Lecture notes on spacetime geometry. Beijing Int. Math. Research Center. 1-55, 2007.
  6. [6] Acet BE, Yüksel Perktaş S, Kılıç, E. Symmetric lightlike hypersurfaces of a para-Sasakian space form. Analele Stiintifice Ale Universitatii Al.I. Cuza Iasi (N.S.) 2, 2016, 915 -– 926.
  7. [7] Acet BE, Yüksel Perktas¸ S, Kılıç, E. On lightlike geometry of para-Sasakian manifolds. Scientific Work J. Article ID 696231, 2014.
  8. [8] Yüksel Perktas¸ S, Erdoğan FE. On generalized CR-lightlike submanifolds. Palestine J Math. 8(1), 2019, 200 -– 208.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

April 30, 2022

Submission Date

April 25, 2022

Acceptance Date

June 9, 2022

Published in Issue

Year 2022 Volume: 7 Number: 1

APA
Kılıç, E., Acet, T., & Yüksel Perktaş, S. (2022). Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds. Turkish Journal of Science, 7(1), 21-30. https://izlik.org/JA64FT52ZF
AMA
1.Kılıç E, Acet T, Yüksel Perktaş S. Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds. TJOS. 2022;7(1):21-30. https://izlik.org/JA64FT52ZF
Chicago
Kılıç, Erol, Tuba Acet, and Selcen Yüksel Perktaş. 2022. “Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds”. Turkish Journal of Science 7 (1): 21-30. https://izlik.org/JA64FT52ZF.
EndNote
Kılıç E, Acet T, Yüksel Perktaş S (April 1, 2022) Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds. Turkish Journal of Science 7 1 21–30.
IEEE
[1]E. Kılıç, T. Acet, and S. Yüksel Perktaş, “Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds”, TJOS, vol. 7, no. 1, pp. 21–30, Apr. 2022, [Online]. Available: https://izlik.org/JA64FT52ZF
ISNAD
Kılıç, Erol - Acet, Tuba - Yüksel Perktaş, Selcen. “Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds”. Turkish Journal of Science 7/1 (April 1, 2022): 21-30. https://izlik.org/JA64FT52ZF.
JAMA
1.Kılıç E, Acet T, Yüksel Perktaş S. Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds. TJOS. 2022;7:21–30.
MLA
Kılıç, Erol, et al. “Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds”. Turkish Journal of Science, vol. 7, no. 1, Apr. 2022, pp. 21-30, https://izlik.org/JA64FT52ZF.
Vancouver
1.Erol Kılıç, Tuba Acet, Selcen Yüksel Perktaş. Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds. TJOS [Internet]. 2022 Apr. 1;7(1):21-30. Available from: https://izlik.org/JA64FT52ZF