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The Quarterly Journal of Mathematics Advance Access originally published online on May 29, 2007
The Quarterly Journal of Mathematics 2007 58(3):297-311; doi:10.1093/qmath/ham013
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© 2007. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

SPECIAL SYMPLECTIC SIX-MANIFOLDS

Diego Conti1,{dagger} and Adriano Tomassini2,{ddagger}

1 Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi 53, 20125 Milano, Italy
2 Dipartimento di Matematica, Università di Parma, Via G.P. Usberti 53/A, 43100 Parma, Italy

{dagger} Corresponding author. E-mail: diego.conti{at}unimib.it

{ddagger} E-mail: adriano.tomassini{at}unipr.it


   Abstract

We classify nilmanifolds with an invariant symplectic half-flat structure. We study the transverse or quotient geometry of six-manifolds with an SU (3)-structure preserved by a Killing vector field, giving characterizations in the symplectic half-flat and integrable case.


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