Research Article

Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds

Volume: 22 Number: 1 January 10, 2020
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Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds

Abstract

In this study, we introduce semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. We find some conditions for integrability of distributions. Morever, we investigate totally geodesic and mixed geodesic distributions of such a submanifold. The paper also contains an example.

Keywords

References

  1. Acet, B. E., Lightlike hypersurfaces of metallic semi-Riemannian manifolds, Int. Jour. of Geometric method in modern Physics, 15(12), 185-201, (2018).
  2. Acet, B. E., Perktaş, S. Y. and Kılıç, E., Lightlike Submanifolds of a Para-Sasakian Manifold, Gen. Math. Notes, 22(2), 22-45, (2014).
  3. Atçeken, M. and Kılıç, E., Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J., 30(3), 361-378, (2007).
  4. Bahadır, O. and Kılıç, E., Lightlike submanifolds of indefinite Kaehler manifolds with quarter symmetric non-metric connection, Mathematical Sciences And Applications E-Notes, 2(2), 89-104, (2014).
  5. Bahadır, O. and Kılıç, E., Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter Symmetric Non-Metric Connection, International Electronic Journal of Geometry, 9(1), 9-22, (2016).
  6. Crasmareanu, M. and Hretcanu, C. E., Golden Differential Geometry, Chaos, Solitons & Fractals, 38, 1229-1238, (2008).
  7. Duggal, K. L. and Bejancu, A., Lightlike submanifold of semi-Riemannian manifolds and its applications, Kluwer Academic, The Netherlands, (1996).
  8. Duggal, K. L. and Şahin, B., Screen Cauchy Riemann lightlike submanifolds, Acta Math. Hungar., 106(1-2), 137-165, (2005).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

January 10, 2020

Submission Date

March 8, 2019

Acceptance Date

July 25, 2019

Published in Issue

Year 2020 Volume: 22 Number: 1

APA
(önen) Poyraz, N., & Doğan, B. (2020). Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(1), 106-121. https://doi.org/10.25092/baunfbed.679537
AMA
1.(önen) Poyraz N, Doğan B. Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020;22(1):106-121. doi:10.25092/baunfbed.679537
Chicago
(önen) Poyraz, Nergiz, and Burçin Doğan. 2020. “Semi-Invariant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (1): 106-21. https://doi.org/10.25092/baunfbed.679537.
EndNote
(önen) Poyraz N, Doğan B (January 1, 2020) Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 1 106–121.
IEEE
[1]N. (önen) Poyraz and B. Doğan, “Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 1, pp. 106–121, Jan. 2020, doi: 10.25092/baunfbed.679537.
ISNAD
(önen) Poyraz, Nergiz - Doğan, Burçin. “Semi-Invariant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/1 (January 1, 2020): 106-121. https://doi.org/10.25092/baunfbed.679537.
JAMA
1.(önen) Poyraz N, Doğan B. Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020;22:106–121.
MLA
(önen) Poyraz, Nergiz, and Burçin Doğan. “Semi-Invariant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 1, Jan. 2020, pp. 106-21, doi:10.25092/baunfbed.679537.
Vancouver
1.Nergiz (önen) Poyraz, Burçin Doğan. Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020 Jan. 1;22(1):106-21. doi:10.25092/baunfbed.679537

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