Screen pseudo slant lightlike submanifolds of golden semi-Riemannian manifolds

Yıl 2020, Cilt: 49 Sayı: 6, 2037 - 2045, 08.12.2020

Bilal Eftal Acet

https://doi.org/10.15672/hujms.590342

Cited By: 6

Öz

In this article, we examine the term of screen pseudo-slant lightlike submanifolds of a golden semi-Riemannian manifold. Also, we obtain an example. We give some characterizations about the geometry of such submanifolds.

Anahtar Kelimeler

Semi-Riemannian manifold, Golden ratio, Lightlike submanifold

Kaynakça

• [1] A. Carriazo, New Developments in Slant Submanifolds Theory, New Delhi, India, 2002.
• [2] A. Gezer, N. Cengiz and A. Salimov, On integrability of golden Riemannian structures, Turk. J. Math. 37, 693–703, 2013.
• [3] A. Lotta, Slant submanifolds in contact geometry, Bull. Math. Soc. Roumanie 39, 183–198, 1996.
• [4] B.E. Acet, S. Yüksel Perktaş and E, Kılıç, On lightlike geometry of para-Sasakian manifolds, Sci. World J. Art. ID 696231, 2014.
• [5] B.E. Acet, S. Yüksel Perktaş and E, Kılıç, Symmetric lightlike hypersurfaces of a para-Sasakian space form, An. Ştiinţ Al. I. Cuza Iaşi. Mat. (N.S.), 2, 915–926, 2016.
• [6] B.Y. Chen, Geometry of Slant Submanifolds, Leuven, Katholike Univ. 1990.
• [7] B. Şahin and M.A. Akyol, Golden maps between golden Riemannian manifolds and constancy of certain maps, Math Commun. 19, 333–342, 2014.
• [8] F.E. Erdoğan, Screen transversal lightlike submanifolds of golden semi-Riemannian manifolds, arXiv:1805.06783v1.
• [9] F.E. Erdoğan and C. Yıldırım, Semi-invariant submanifolds of golden Riemannian manifolds, AIP Conference Proceedings. 1833 (020044), doi:10.1063/1.4981692, 2017.
• [10] F.E. Erdoğan, S. Yüksel Perktaş, B.E. Acet and A.M. Blaga, Screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds, J. Geom. Phys. 142, 111– 120, 2019.
• [11] F.E. Erdoğan, S. Yüksel Perktaş and B.E. Acet, Invariant lightlike submanifolds of golden semi-Riemannian manifolds, AIP Conference Proceedings. 1991 (020011), doi:10.1063/1.5047884, 2018.
• [12] K.L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Mathematics and Its Applications, Kluwer Publisher, 1996.
• [13] K.L. Duggal and B. Şahin, Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds, Acta Math. Hungar. 112, 107–130, 2006.
• [14] K.L. Duggal and B. Şahin, Lightlike submanifolds of indefinite Sasakian manifolds, Int. J. Math. Math. Sci. Art. No. 57585, 2007.
• [15] K.L. Duggal and B. Şahin, Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics, 2010.
• [16] M. Crasmareanu and C.E. Hretcanu, Golden differential geometry, Chaos Solitons Fractals 38 (5), 1229–1238, 2008.
• [17] M. Crasmareanu and C.E. Hretcanu, Applications of the golden ratio on Riemannian manifolds, Turk. J. Math. 33 (2), 179–191, 2009.
• [18] M. Crasmareanu and C.E. Hretcanu, On the some invariant submanifolds in a Riemannian manifold with golden structure, An. Ştiinţ Al. I. Cuza Iaşi. Mat. (N.S.) 53 (1), 199–211, 2007.
• [19] M. Özkan, Prolongations of golden structure to tangent bundles, Diff. Geo. Dynm. Syst. 16, 227–238, 2014.
• [20] N. Önen Poyraz and E. Yaşar, Lightlike hypersurfaces of a golden semi-Riemannian manifold, Mediterr. J. Math. 14, Article number: 204, 2017.
• [21] S. Yüksel Perktaş and F.E. Erdoğan, On generalized CR-lightlike submanifolds, Palestine J. Math. 8 (1), 200–208, 2019.