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Title
Invariant Submanifolds of Kenmotsu-like Statistical Manifolds
Type of Research Article
Keywords
Kenmotsu statistical manifolds, CR-submanifolds, hypersurfaces
Abstract
By giving a brief definition and example of Kenmotsu-like statistical manifolds, we investigate the geometry of invariant submanifolds of Kenmotsu-like statistical manifolds. We show that invariant submanifolds of these manifolds inherit Kenmotsu-like and Kaehler-like structure if the characteristic vector field ζ be tangent and normal, respectively. Moreover, we prove that in tangent case, the submanifold is a statistical minimal submanifold.
Researchers (First Researcher)، (Second Researcher)، Mohammad Ilmakchi (Third Researcher)