Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, , 121 - 130, 31.07.2020
https://doi.org/10.33773/jum.537651

Öz

Kaynakça

  • Acet, B. E., Perktaş, S. Y. and Kılıç, E., Lightlike Submanifolds of a Para-Sasakian Manifold, Gen. Math. Notes, Vol. 22, No. 2, (2014), pp. 22-45.
  • Atçeken, M. and Kiliç, E. Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold. Kodai Math. J. Vol. 30, No. 3, (2007), pp. 361-378. Bahadır, O. and Kılıç, E., Lightlike Submanifolds of Indefinite Kaehler Manifolds with Quarter Symmetric Non-Metric Connection, Mathematical Sciences And Applications E-Notes, Volume 2, No. 2, (2014), pp. 89-104.
  • 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), (2016), 9-22.
  • Crasmareanu, M. and Hretcanu, C. E., Golden Differential Geometry, Chaos, Solitons and Fractals, 38, (2008), 1229-1238.
  • Duggal, K. L. and Bejancu, A., Lightlike Submanifold of Semi-Riemannian Manifolds and Applications, Kluwer Academic Pub., The Netherlands, 1996.
  • Duggal, K. L. and Şahin, B., Screen Cauchy Riemann lightlike submanifolds. Acta Math. Hungar., 106 (1-2), (2005), 137-165.
  • Duggal, K. L. and Sahin, B., Generalized Cauchy Riemann lightlike submanifolds. Acta Math. Hungar., 112 (1-2), (2006), 113-136.
  • Duggal, K. L. and Şahin, B., Differential Geometry of Lightlike Submanifolds, Birkhäuser Verlag AG., 2010.
  • Gezer, A., Cengiz, N., Salimov, A., On integrability of Golden Riemannian structures, Turk J. Math., 37, (2013), 693-703. Goldberg S.I., Yano K., Polynomial structures on manifolds. Kodai Math. Sem. Rep., 22, (1970), 199-218.
  • Hretcanu, C. E., Crasmareanu, M., On some invariant submanifolds in Riemannian manifold with Golden Structure, An. Ştiint. Univ. Al. I. Cuza Iaşi. Mat. (N.S.), 53 (2007), suppl. 1, 199-211.
  • Hretcanu, C. E., Crasmareanu, M., Applications of the golden ratio on Riemannian manifolds, Tübitak, Turk. J. Math., 33, (2009), 179-191.
  • Kılıç,, E. and Şahin, B., Radical Anti-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Turkish J. Math., 32, (2008), 429-449.
  • Kupeli, D. N., Singular Semi-Riemannian Geometry, Kluwer Academic Publishers, Dordrecht, 1996.
  • Özkan, M., Prolongations of golden structures to tangent bundles, Diff. Geom. Dyn. Syst., 16, (2014), 227-238. (Önen) Poyraz N. and Yaşar E., Lightlike Hypersurfaces of A Golden Semi-Riemannian Manifold, Mediterr. J. Math., (2017), 14:204.
  • Yano, K. and Kon, M., Structure on manifolds, World Scientific Publishing Co.Ltd., 1984.
  • Yano, K., On a structure defined by a tensor field f of type (1,1) satisfying f³+f=0, Tensor, N.S., 14, (1963), 99-109.

GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS

Yıl 2020, , 121 - 130, 31.07.2020
https://doi.org/10.33773/jum.537651

Öz

In this paper, we study semi-invariant coisotropic lightlike submanifolds of a golden semi-Riemannian manifold. We give some necessary and sufficient conditions on integrability of distibutions on semi-invariant coisotropic lightlike submanifolds of a golden semi-Riemannian manifold. We obtain some geometric results for coisotropic lightlike submanifolds of a golden semi-Riemannian manifold. Moreover, we give an example.

Kaynakça

  • Acet, B. E., Perktaş, S. Y. and Kılıç, E., Lightlike Submanifolds of a Para-Sasakian Manifold, Gen. Math. Notes, Vol. 22, No. 2, (2014), pp. 22-45.
  • Atçeken, M. and Kiliç, E. Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold. Kodai Math. J. Vol. 30, No. 3, (2007), pp. 361-378. Bahadır, O. and Kılıç, E., Lightlike Submanifolds of Indefinite Kaehler Manifolds with Quarter Symmetric Non-Metric Connection, Mathematical Sciences And Applications E-Notes, Volume 2, No. 2, (2014), pp. 89-104.
  • 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), (2016), 9-22.
  • Crasmareanu, M. and Hretcanu, C. E., Golden Differential Geometry, Chaos, Solitons and Fractals, 38, (2008), 1229-1238.
  • Duggal, K. L. and Bejancu, A., Lightlike Submanifold of Semi-Riemannian Manifolds and Applications, Kluwer Academic Pub., The Netherlands, 1996.
  • Duggal, K. L. and Şahin, B., Screen Cauchy Riemann lightlike submanifolds. Acta Math. Hungar., 106 (1-2), (2005), 137-165.
  • Duggal, K. L. and Sahin, B., Generalized Cauchy Riemann lightlike submanifolds. Acta Math. Hungar., 112 (1-2), (2006), 113-136.
  • Duggal, K. L. and Şahin, B., Differential Geometry of Lightlike Submanifolds, Birkhäuser Verlag AG., 2010.
  • Gezer, A., Cengiz, N., Salimov, A., On integrability of Golden Riemannian structures, Turk J. Math., 37, (2013), 693-703. Goldberg S.I., Yano K., Polynomial structures on manifolds. Kodai Math. Sem. Rep., 22, (1970), 199-218.
  • Hretcanu, C. E., Crasmareanu, M., On some invariant submanifolds in Riemannian manifold with Golden Structure, An. Ştiint. Univ. Al. I. Cuza Iaşi. Mat. (N.S.), 53 (2007), suppl. 1, 199-211.
  • Hretcanu, C. E., Crasmareanu, M., Applications of the golden ratio on Riemannian manifolds, Tübitak, Turk. J. Math., 33, (2009), 179-191.
  • Kılıç,, E. and Şahin, B., Radical Anti-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Turkish J. Math., 32, (2008), 429-449.
  • Kupeli, D. N., Singular Semi-Riemannian Geometry, Kluwer Academic Publishers, Dordrecht, 1996.
  • Özkan, M., Prolongations of golden structures to tangent bundles, Diff. Geom. Dyn. Syst., 16, (2014), 227-238. (Önen) Poyraz N. and Yaşar E., Lightlike Hypersurfaces of A Golden Semi-Riemannian Manifold, Mediterr. J. Math., (2017), 14:204.
  • Yano, K. and Kon, M., Structure on manifolds, World Scientific Publishing Co.Ltd., 1984.
  • Yano, K., On a structure defined by a tensor field f of type (1,1) satisfying f³+f=0, Tensor, N.S., 14, (1963), 99-109.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Nergiz (önen) Poyraz 0000-0002-8110-712X

Burçin Doğan 0000-0001-8386-213X

Yayımlanma Tarihi 31 Temmuz 2020
Gönderilme Tarihi 9 Mart 2019
Kabul Tarihi 16 Nisan 2019
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA (önen) Poyraz, N., & Doğan, B. (2020). GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS. Journal of Universal Mathematics, 3(2), 121-130. https://doi.org/10.33773/jum.537651
AMA (önen) Poyraz N, Doğan B. GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS. JUM. Temmuz 2020;3(2):121-130. doi:10.33773/jum.537651
Chicago (önen) Poyraz, Nergiz, ve Burçin Doğan. “GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS”. Journal of Universal Mathematics 3, sy. 2 (Temmuz 2020): 121-30. https://doi.org/10.33773/jum.537651.
EndNote (önen) Poyraz N, Doğan B (01 Temmuz 2020) GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS. Journal of Universal Mathematics 3 2 121–130.
IEEE N. (önen) Poyraz ve B. Doğan, “GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS”, JUM, c. 3, sy. 2, ss. 121–130, 2020, doi: 10.33773/jum.537651.
ISNAD (önen) Poyraz, Nergiz - Doğan, Burçin. “GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS”. Journal of Universal Mathematics 3/2 (Temmuz 2020), 121-130. https://doi.org/10.33773/jum.537651.
JAMA (önen) Poyraz N, Doğan B. GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS. JUM. 2020;3:121–130.
MLA (önen) Poyraz, Nergiz ve Burçin Doğan. “GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS”. Journal of Universal Mathematics, c. 3, sy. 2, 2020, ss. 121-30, doi:10.33773/jum.537651.
Vancouver (önen) Poyraz N, Doğan B. GEOMETRY OF SEMI-INVARIANT COISOTROPIC SUBMANIFOLDS IN GOLDEN SEMI-RIEMANNIAN MANIFOLDS. JUM. 2020;3(2):121-30.