Some submanifolds of generalized Kenmotsu manifolds
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Abstract
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.
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Sari, R., & Turgut Vanli, A. (2022). Some submanifolds of generalized Kenmotsu manifolds. Gulf Journal of Mathematics, 14(1), 114-124. https://doi.org/10.56947/gjom.v14i1.908
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