Screen generic lightlike submanifolds of semi-Riemannian product manifolds

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POYRAZ N.

Hacettepe Journal of Mathematics and Statistics, vol.53, no.1, pp.171-183, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.15672/hujms.1168604
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.171-183
  • Keywords: generic lightlike submanifold, lightlike submanifold, minimal lightlike submanifold, semi-Riemannian product manifold
  • Çukurova University Affiliated: Yes

Abstract

In this paper, we introduce screen generic lightlike submanifolds of semi-Riemannian product manifolds. We investigate the integrability of various distributions and geometry of such submanifolds. Finally, we find a condition for minimal screen generic lightlike sub-manifolds. We also give examples.