Transversal lightlike submanifolds of metallic semi-Riemannian manifolds


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ERDOĞAN F. E.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.3133-3148, 2018 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 42 Konu: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1804-88
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayısı: ss.3133-3148

Özet

The main purpose of the present paper is to study the geometry of transversal lightlike submanifolds and radical transversal lightlike submanifolds of metallic semi-Riemannian manifolds. We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be a metric connection. We also obtain characterization of transversal lightlike submanifolds of metallic semi-Riemannian manifolds. Finally, we give two examples.