The geometry of hemi-slant submanifolds of a locally product Riemannian manifold

Mete, Hakan; OZDEMIR, FATMA

The geometry of hemi-slant submanifolds of a locally product Riemannian manifold

Hakan Mete TAŞTAN, (Matematik Bölümü, İstanbul Üniversitesi, Vezneciler, İstanbul, Türkiye)

Fatma ÖZDEMİR (Matematik Bölümü, İstanbul Teknik Üniversitesi, Maslak, İstanbul, Türkiye)

Turkish Journal of Mathematics

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Yıl: 2015 Cilt: 39 Sayı: 2 Sayfa Aralığı: 268 - 284 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

The geometry of hemi-slant submanifolds of a locally product Riemannian manifold

Öz:

In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution involved in the definition of hemi-slant submanifold is integrable and give some applications of this result. We get a necessary and sufficient condition for a proper hemi-slant submanifold to be a hemi-slant product. We also study these types of submanifolds with parallel canonical structures. Moreover, we give two characterization theorems for the totally umbilical proper hemi-slant submanifolds. Finally, we obtain a basic inequality involving Ricci curvature and the squared mean curvature of a hemi-slant submanifold of a certain type of locally product Riemannian manifolds.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Mete H, OZDEMIR F (2015). The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. , 268 - 284.
Chicago	Mete Hakan,OZDEMIR FATMA The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. (2015): 268 - 284.
MLA	Mete Hakan,OZDEMIR FATMA The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. , 2015, ss.268 - 284.
AMA	Mete H,OZDEMIR F The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. . 2015; 268 - 284.
Vancouver	Mete H,OZDEMIR F The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. . 2015; 268 - 284.
IEEE	Mete H,OZDEMIR F "The geometry of hemi-slant submanifolds of a locally product Riemannian manifold." , ss.268 - 284, 2015.
ISNAD	Mete, Hakan - OZDEMIR, FATMA. "The geometry of hemi-slant submanifolds of a locally product Riemannian manifold". (2015), 268-284.

APA	Mete H, OZDEMIR F (2015). The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. Turkish Journal of Mathematics, 39(2), 268 - 284.
Chicago	Mete Hakan,OZDEMIR FATMA The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. Turkish Journal of Mathematics 39, no.2 (2015): 268 - 284.
MLA	Mete Hakan,OZDEMIR FATMA The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. Turkish Journal of Mathematics, vol.39, no.2, 2015, ss.268 - 284.
AMA	Mete H,OZDEMIR F The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. Turkish Journal of Mathematics. 2015; 39(2): 268 - 284.
Vancouver	Mete H,OZDEMIR F The geometry of hemi-slant submanifolds of a locally product Riemannian manifold. Turkish Journal of Mathematics. 2015; 39(2): 268 - 284.
IEEE	Mete H,OZDEMIR F "The geometry of hemi-slant submanifolds of a locally product Riemannian manifold." Turkish Journal of Mathematics, 39, ss.268 - 284, 2015.
ISNAD	Mete, Hakan - OZDEMIR, FATMA. "The geometry of hemi-slant submanifolds of a locally product Riemannian manifold". Turkish Journal of Mathematics 39/2 (2015), 268-284.