Warped product submanifolds of Kaehler manifolds with a slant factor
Makaleler > Tam Makale · 2009
Yazarlar: Bayram ŞAHİN
ANNALES POLONICI MATHEMATICI, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2009, cilt 95, ss 207-226
DOI: 10.4064/ap95-3-2
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.