Slant Submanifolds of a Lorentz Kenmotsu Manifold

In this paper, we study slant submanifolds of a Lorentz Kenmotsu manifold. Necessary and sufficient conditions are given on a submanifold of a Lorentz Kenmotsu manifold to be a slant submanifold. We also study slant submanifolds of locally warped product Lorentz Kenmotsu manifold. We give examples o...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2019-10, Vol.16 (5), p.1-17, Article 129
Main Authors: Sari, Ramazan, Turgut Vanli, Aysel
Format: Article
Language:English
Subjects:
Curvature
Manifolds (mathematics)
Mathematics
Mathematics and Statistics
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Summary:In this paper, we study slant submanifolds of a Lorentz Kenmotsu manifold. Necessary and sufficient conditions are given on a submanifold of a Lorentz Kenmotsu manifold to be a slant submanifold. We also study slant submanifolds of locally warped product Lorentz Kenmotsu manifold. We give examples of slant submanifold warped product a Lorentz Kenmotsu manifold. In addition, we investigate semi-slant submanifolds of a Lorentz Kenmotsu manifold. Moreover, we show that a semi-slant submanifold of locally warped product Lorentz Kenmotsu manifold is a warped product. Furthermore, we obtain some curvature properties for semi-slant submanifold of a Lorentz Kenmotsu space form. Finally, we show that if a semi-slant submanifold of a Lorentz Kenmotsu space form M is totally geodesic, then M is an η -Einstein manifold.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-019-1390-2