Warped product pointwise semi-slant submanifolds of Kahler manifolds
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
European Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
It is known that there exist no warped product semi-slant submanifolds in Kahler manifolds [15]. Recently, Chen and Garay studied pointwise slant submanifolds of almost Hermitian manifolds in [9] and obtained many new results for such submanifolds. In this paper, we first introduce pointwise semi-slant submanifolds of Kahler manifolds and then we show that there exists non-trivial warped product pointwise semi-slant submanifolds of Kahler manifold by giving an example, contrary to the semi-slant case. We present a characterization theorem and establish an inequality for the squared norm of the second fundamental form in terms of the warping function for such warped product submanifolds in Kahler manifolds. The equality case is also considered.
Açıklama
Anahtar Kelimeler
Warped product, pointwise slant submanifold, pointwise semi-slant submanifold, Kahler manifold
Kaynak
Portugaliae Mathematica
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
70
Sayı
3
