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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/10876

Title: Submersions of CR- Submanifolds on an almost Hermitian manifold
Authors: Deshmukh, Sharief
Ghazal, Tahsin
Hashem, Huda
Keywords: CR-submanifold $M$ of a Kahler manifold
Issue Date: 18-Jan-2011
Abstract: S. Kobayashi has shown [Tohoku Math. J. (2) 39 (1987), no. 1, 95—100; MR 88d:32032] that if an almost Hermitian manifold $B$ admits a Riemannian submersion $\pi\colon M\to B$ of a CR-submanifold $M$ of a Kahler manifold, then $B$ is necessarily a Kahler manifold. In this article, the authors study a similar problem for CR-submanifolds of manifolds in different classes of almost Hermitian manifolds, such as quasi-Kahler manifolds and nearly Kahler manifolds. They also generalize the cohomology class of a CR-submanifold of a Kahler manifold introduced by the reviewer [Ann. Fac. Sci. Toulouse Math. (5) 3 (1981), no. 2, 167—172; MR 83f:53048] to a CR-submanifold of a Hermitian manifold with integrable holomorphic distribution which admits a certain Riemannian submersion.
URI: http://hdl.handle.net/123456789/10876
Appears in Collections:College of Science

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