Warped product submanifolds of Kaehler manifolds with a slant factor
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Polish Acad Sciences Inst Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Recently, we showed that there exist no warped product semi-slant submanifolds in Kaehler manifolds. On the other hand, Carriazo introduced anti-slant submanifolds as a particular class of bi-slant submanifolds. In this paper, we study such submanifolds in detail and show that they are useful to define a new kind of warped product submanifolds of Kaehler manifolds. In this direction, we obtain the existence of warped product hemi-slant (anti-slant) submanifolds with examples. We give a characterization theorem and establish an inequality for the squared norm of the second fundamental form in terms of the warping function for such submanifolds. The equality case is also considered.
Açıklama
Anahtar Kelimeler
warped product, slant submanifold, semi-slant submanifold, Kaehler manifold
Kaynak
Annales Polonici Mathematici
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
95
Sayı
3
