QR-submanifolds of a locally conformal quaternion Kaehler manifold
Makaleler > Tam Makale · 2003
Yazarlar: Bayram ŞAHİN, Rifat Günes
PUBLICATIONES MATHEMATICAE-DEBRECEN, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2003, cilt 63, ss 157-174
Özet
In this paper, we study QR-submanifolds of a locally conformal quaternion Kaehler manifold. We give the basic formulas for QR-submanifolds of a locally conformal quaternion Kaehler manifold and two examples of QR-submanifolds of a locally conformal quaternion Kaehler manifold. Necessary and sufficient conditions are given for a quaternion distribution on a QR-submanifold to be integrable. Also, a necessary and sufficient condition is given for a distribution D⊥ on a QR-submanifold to be a totally geodesic foliation. Further, a theorem is obtained for a QR-submanifold to be mixed geodesic. Finally, totally umbilical QR-submanifolds are studied and some theorems are given.