Slant Submanifolds of a Lorentz Kenmotsu Manifold
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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 \(\eta \)-Einstein manifold.
KeywordsSlant submanifold Semi-slant submanifold Warped product manifold Sectional curvature Lorentz Kenmotsu manifold
Mathematics Subject Classification53C25 53C40
We would like to thank the referee for his/her suggestions.