Invariant Submanifolds of a Generalized Kenmotsu Manifold

Aysel Turgut Vanli; Ramazan Sari

Invariant Submanifolds of a Generalized Kenmotsu Manifold

Differential Geometry 2014-10-20 v1

Authors: Aysel Turgut Vanli , Ramazan Sari

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.

Keywords

generalized Kenmotsu manifold invariant submanifold semiparallel submanifold 2-semiparallel submanifold necessary and sufficient conditions

Cite

@article{arxiv.1410.4662,
  title  = {Invariant Submanifolds of a Generalized Kenmotsu Manifold},
  author = {Aysel Turgut Vanli and Ramazan Sari},
  journal= {arXiv preprint arXiv:1410.4662},
  year   = {2014}
}

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12 pages

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