Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 147159 (2006) 

Submersion of CRsubmanifolds of locally conformal Kähler manifoldReem AlGhefari, Mohammed Hasan Shahid and Falleh R. AlSolamyDepartment 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, email: falleh@hotmail.com email: hasan_jmi@yahoo.comAbstract: In this paper, we discuss submersion of CRsubmanifolds of locally conformal Kähler manifold. We prove that if $\pi : \overline M\longrightarrow B_{\circ}$ is a submersion of CRsubmanifold $M$ 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 CRsubmanifold and cohomology of CRsubmanifold of locally conformal Kaehler manifold under the submersion. Keywords: CRsubmanifolds, 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.
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