SOME SUBMANIFOLDS OF GENERALIZED KENMOTSU MANIFOLDS
Gulf Journal of Mathematics, cilt.14, sa.1, ss.114-124, 2023 (Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.