Open AccessSYMPLECTICALLY ASPHERICAL MANIFOLDS WITH NONTRIVIAL π2 AND WITH NO KÄHLER METRICS
Author(s) -
Marisa Fernández,
Vicente Muñoz,
José A. Santisteban
Publication year - 2004
Publication title -
library open repository (universidad complutense madrid)
Language(s) - English
Resource type - Conference proceedings
DOI - 10.1142/9789812703088_0010
Subject(s) - manifold (fluid mechanics) , mathematics , pure mathematics , hyperkähler manifold , topology (electrical circuits) , geology , combinatorics , geometry , ricci flat manifold , engineering , mechanical engineering , scalar curvature , curvature
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\udmetrics 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
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