Slant submanifolds of an almost product Riemannian manifold

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Atıf İçin Kopyala

Sahin B.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.43, sa.4, ss.717-732, 2006 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 43 Sayı: 4
• Basım Tarihi: 2006
• Doi Numarası: 10.4134/jkms.2006.43.4.717
• Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.717-732
• İnönü Üniversitesi Adresli: Hayır

Özet

In this paper, we study both slant and semi-slant submanifolds of an almost product Riemannian manifold. We give characterization theorems for slant and semi-slant submanifolds and investigate special class of slant submanifolds which are product version of Kaehlerian slant submanifold. We also obtain integrability conditions for the distributions which are involved in the definition of a semi-slant submanifold. Finally, we prove a theorem on the geometry of leaves of distributions under a condition.