Slant Submanifolds of a Lorentz Kenmotsu Manifold

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Atıf İçin Kopyala

SARI R., VANLI A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.16, sa.5, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 16 Sayı: 5
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s00009-019-1390-2
• Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Gazi Üniversitesi Adresli: Evet

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.