Invariant Submanifolds of a Generalized Kenmotsu Manifold
Aysel Turgut Vanli, Ramazan Sari
TL;DR
This paper investigates the properties and conditions for invariant submanifolds within generalized Kenmotsu manifolds, providing new theorems and exploring special cases like semiparallel submanifolds.
Contribution
It offers necessary and sufficient conditions for invariant submanifolds in generalized Kenmotsu manifolds and examines their properties and special cases.
Findings
Characterization of invariant submanifolds
Conditions for semiparallel submanifolds
New theorems on submanifold properties
Abstract
In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be an invariant submanifold.In this case, we investigate further properties of invariant submanifolds of \ a generalized Kenmotsu manifold. In addition, some theorems are given related to an invariant submanifold of a generalized Kenmotsu manifold.We consider semiparallel and 2-semiparallel invariant submanifolds of a generalized Kenmotsu manifold.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds