WARPED PRODUCT SEMI-SLANT SUBMANIFOLDS OF A LOCALLY PRODUCT RIEMANNIAN MANIFOLD

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Atıf İçin Kopyala

Sahin B.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.46, sa.2, ss.169-184, 2009 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 46 Sayı: 2
• Basım Tarihi: 2009
• Doi Numarası: 10.1556/sscmath.46.2009.2.1086
• Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.169-184
• İnönü Üniversitesi Adresli: Hayır

Özet

In [20], it was shown that there are no warped product semi-slant submanifolds of Kaehler manifolds. In this paper, we show that there exists a class of non-trivial warped product semi-slant submanifolds of a locally product Riemannian manifold contrary to Kaehlerian case. Then, we give a characterization, an example and investigate the geometry of warped product semi-slant submanifolds in a locally product Riemannian manifold.