SOME SUBMANIFOLDS OF GENERALIZED KENMOTSU MANIFOLDS

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VANLI A., Sari R.

Gulf Journal of Mathematics, cilt.14, sa.1, ss.114-124, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.56947/gjom.v14i1.908
  • Dergi Adı: Gulf Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.114-124
  • Anahtar Kelimeler: Generalized Kenmotsu manifolds, invariant submanifolds, semi-parallel submanifolds
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied and given some properties. An example is constructed for an invariant submanifold of a generalized Kenmotsu manifold. In addition, integrabilities of invariant distribution is investigated, and some theorems are given related to curvature tensor and the second fundamental form in invariant submanifolds of a generalized Kenmotsu manifold. Moreover, semi-parallel and 2-semi-parallel invariant submanifolds of a generalized Kenmotsu manifold are studied. Necessary and sufficient conditions are given on semi-parallel and 2-semi-parallel invariant submanifolds of a generalized Kenmotsu manifold to be totally geodesic.