International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 1, Pages 27-37
doi:10.1155/S0161171201005580
Quaternion CR-submanifolds of a quaternion Kähler manifold
Bassil J. Papantoniou1
and M.Hasan Shahid2
1Department of Mathematics, University of Patras, Patras 26100, Greece
2Department of Mathematics, Faculty of Natural Science, Jamia Millia Islamia, New Delhi, India
Abstract
We study the quaternion CR-submanifolds of a quaternion Kaehler manifold. More specifically we study the properties of the canonical structures and the geometry of the canonical foliations by using the Bott connection and the index of a quaternion CR-submanifold.