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Symplectically aspherical manifolds with nontrivial π2 and with no Kähler metrics.

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Fernandez, Marisa and Muñoz, Vicente and Santisteban, José A. (2004) Symplectically aspherical manifolds with nontrivial π2 and with no Kähler metrics. In Contemporary Geometry and Related Topics: Proceedings of the Workshop Belgrade, Yugoslavia 15 - 21 May 2002. World Scientific, Belgrade, pp. 187-199. ISBN 978-981-238-432-4

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Official URL: http://www.mat.ucm.es/~vmunozve/Aspherical.pdf


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Abstract

In a previous paper, the authors show some examples of compact symplectic solvman-ifolds, of dimension six, which are cohomologically KÄahler and they do not admit Kahler
metrics because their fundamental groups cannot be the fundamental group of any compact Kahler manifold. Here we generalize such manifolds to higher dimension and, by using Au-roux symplectic submanifolds [3], we construct four-dimensional symplectically aspherical manifolds with nontrivial ¼2 and with no Kahler metrics.


Item Type:Book Section
Uncontrolled Keywords:symplectically aspherical manifolds; Auroux symplectic submanifolds; Homotopy groups; Formality; Hard Lefschetz theorem
Subjects:Sciences > Mathematics > Geometry
ID Code:21247
Deposited On:08 May 2013 13:26
Last Modified:12 Dec 2018 15:13

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