TY - JOUR T1 - Lightlike Hypersurfaces of Poly-Norden Semi-Riemannian Manifolds AU - Acet, Tuba AU - Kılıç, Erol AU - Yüksel Perktaş, Selcen PY - 2022 DA - April JF - Turkish Journal of Science JO - TJOS PB - Ahmet Ocak AKDEMİR WT - DergiPark SN - 2587-0971 SP - 21 EP - 30 VL - 7 IS - 1 LA - en AB - In this article, we initiate the study of lightlike hypersurfaces in a poly-Norden semi-Riemannianmanifold. We introduce invariant and screen semi-invariant lightlike hypersurfaces of a poly-Norden semi-Riemannian manifold. Also, we give some examples of such hypersurfaces. KW - Almost poly-Norden structure KW - poly-Norden manifold KW - Lightlike hypersurface CR - [1] Duggal KL, Bejancu A. Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and Its Applications. Kluwer Publisher, 1996. CR - [2] Duggal KL, Şahin B. Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds. Acta Math Hungarica. 112, 2006, 107 -– 130. CR - [3] Duggal KL, Şahin B. Lightlike submanifolds of indefinite Sasakian manifolds. Int J Math and Math Sci. Article ID 57585, 2007. CR - [4] Duggal KL, Şahin B. Differential geometry of lightlike submanifolds. Frontiers in Mathematics, 2010. CR - [5] Galloway GJ. Lecture notes on spacetime geometry. Beijing Int. Math. Research Center. 1-55, 2007. CR - [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. CR - [7] Acet BE, Yüksel Perktas¸ S, Kılıç, E. On lightlike geometry of para-Sasakian manifolds. Scientific Work J. Article ID 696231, 2014. CR - [8] Yüksel Perktas¸ S, Erdoğan FE. On generalized CR-lightlike submanifolds. Palestine J Math. 8(1), 2019, 200 -– 208. CR - [9] Crasmareanu MC, Hretcanu CE. Golden differential geometry. Chaos, Solitons and Fractals. 38(5), 2008, 1229 -– 1238. CR - [10] Hretcanu CE, Crasmareanu MC. On some invariant submanifolds in a Riemannian manifold with golden structure. Analele Stiintifice Ale Universitatii Al.I. Cuza Iasi (N.S.) 53(1), 2007, 199 -– 211. CR - [11] Gezer A, Cengiz N, Salimov A. On integrability of golden Riemannian structure. Turk J Math. 37, 2013, 693 -– 703. CR - [12] Erdoğan FE, Yıldırım C. n a study of the totally umbilical semi-invariant submanifolds of golden Riemannian manifolds. J Polytech. 21(4), 2018, 967 -– 970. CR - [13] Ö nen Poyraz N, Yaşar E. Lightlike hypersurfaces of a golden semi-Riemannian manifold. Mediter J Math. 14(204), 2017, 1 -– 20. CR - [14] Spinadel VW. he metallic means family and forbidden symmetries. Int Math J. 2(3), 2002, 279 -– 288. CR - [15] Acet BE. Lightlike hypersurfaces of metallic semi-Riemannian manifolds. Int J Geo Meth in Modern Phys. 15(12), 2018, 185 -– 201. CR - [16] Erdoğan FE. Transversal lightlike submanifolds of metallic semi-Riemannian manifolds. Turk J Math. 42, 2018, 3133 -– 3148. CR - [17] Hretcanu CE, Blaga AM. Submanifolds in metallic semi-Riemannian manifolds. Differ Geom Dynm Syst. 20, 2018, 83 -– 97. CR - [18] Erdoğan FE,Y üksel Perktas¸ S, Acet BE. Blaga AM. Screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds. J Geom Phys. 142, 2019, 111 -– 120. CR - [19] Kalia S. The generalizations of the golden ratio, their powers, continued fractions and convergents, http://math.mit.edu/research/highschool/primes/papers.php CR - [20] Hretcanu CE, Crasmareanu MC. Metallic structure on Riemannian manifolds. Rev Un Mat Argentina. 54(2), 2013, 15 -– 27. CR - [21] Şahin B. Almost poly-Norden manifolds. Int J Maps in Math. 1(1), 2018, 68 -– 79. CR - [22] Yüksel Perktas¸ S. Submanifolds of almost poly-Norden Riemannian manifolds. Turk J Math. 44(1), 2020, 31 -– 49. UR - https://dergipark.org.tr/en/pub/tjos/issue//1108592 L1 - https://dergipark.org.tr/en/download/article-file/2395221 ER -