Slant Submanifolds of a Lorentz Kenmotsu Manifold


SARI R., VANLI A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.16, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 16 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00009-019-1390-2
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS

Özet

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.