Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 47, No. 1, pp. 147-159 (2006)
|
|
Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 147-159 (2006) |
|
|
Submersion of CR-submanifolds of locally conformal Kähler manifoldReem Al-Ghefari, Mohammed Hasan Shahid and Falleh R. Al-SolamyDepartment of Mathematics, Girls College of Education, P. O. Box 55002, Jeddah 21534, Saudi Arabia; Department of Mathematics, King AbdulAziz University, P. O. Box 80015, Jeddah 21589, Saudi Arabia, e-mail: falleh@hotmail.com e-mail: hasan_jmi@yahoo.comAbstract: In this paper, we discuss submersion of CR-submanifolds of locally conformal Kähler manifold. We prove that if $\pi : \overline M\longrightarrow B_{\circ}$ is a submersion of CR-submanifold $M$ of a locally conformal Kähler manifold $\overline M$ onto an almost Hermitian manifold $B_{\circ}$, then $B_{\circ}$ is a locally conformal Kähler manifold. Furthermore, we discuss totally umbilical CR-submanifold and cohomology of CR-submanifold of locally conformal Kaehler manifold under the submersion. Keywords: CR-submanifolds, locally conformal Kähler manifold Classification (MSC2000): 53C40 Full text of the article:
Electronic version published on: 9 May 2006. This page was last modified: 4 Nov 2009.
© 2006 Heldermann Verlag
|