Warped product submanifolds of Kaehler manifolds with a slant factor

Bayram Sahin. "Warped product submanifolds of Kaehler manifolds with a slant factor." Annales Polonici Mathematici 95.3 (2009): 207-226. <http://eudml.org/doc/281040>.

@article{BayramSahin2009,
abstract = {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.},
author = {Bayram Sahin},
journal = {Annales Polonici Mathematici},
keywords = {warped product; slant submanifold; semi-slant submanifold; Kaehler manifold},
language = {eng},
number = {3},
pages = {207-226},
title = {Warped product submanifolds of Kaehler manifolds with a slant factor},
url = {http://eudml.org/doc/281040},
volume = {95},
year = {2009},
}

TY - JOUR
AU - Bayram Sahin
TI - Warped product submanifolds of Kaehler manifolds with a slant factor
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 3
SP - 207
EP - 226
AB - 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.
LA - eng
KW - warped product; slant submanifold; semi-slant submanifold; Kaehler manifold
UR - http://eudml.org/doc/281040
ER -