Screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds


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ERDOĞAN F. E. , Perktaş S. Y. , Acet B. E. , Blaga A. M.

JOURNAL OF GEOMETRY AND PHYSICS, cilt.142, ss.111-120, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 142
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.geomphys.2019.04.010
  • Dergi Adı: JOURNAL OF GEOMETRY AND PHYSICS
  • Sayfa Sayıları: ss.111-120

Özet

In the present paper, we introduce screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds with its subclasses, namely screen transversal anti-invariant, radical screen transversal and isotropic screen transversal lightlike submanifolds, and give an example. We show that there do not exist co-isotropic and totally screen transversal type of screen transversal anti-invariant lightlike submanifolds of a metallic semi-Riemannian manifold. We investigate the geometry of distributions involved in the definition of such submanifolds and the conditions for the induced connection to be a metric connection. Furthermore, we give a necessary and sufficient condition for an isotropic screen transversal lightlike submanifold to be totally geodesic. (C) 2019 Elsevier B.V. All rights reserved.