Published January 1, 2025 | Version v1
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Generalized screen generic lightlike submanifolds

  • 1. Cukurova Univ, Fac Arts & Sci, Dept Math, TR-01330 Adana, Turkiye
  • 2. Usak Univ, Fac Engn & Nat Sci, Dept Math, TR-64000 Usak, Turkiye

Description

In this paper, we introduce generalized screen generic lightlike submanifolds of indefinite Kaehler manifolds which is new class and an umbrella of invariant (complex), screen real, CR, SCR, GCR and screen generic lightlike submanifolds. We give a non-trivial example for new class of submanifolds and find new conditions for the induced connection to be a metric connection. Then we obtain a characterization of such lightlike submanifolds in a complex space form. Moreover, we find some necessary and sufficient conditions for minimal generalized screen generic lightlike submanifolds and give an example of minimal generalized screen generic lightlike submanifold.

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