Skip Navigation



The Quarterly Journal of Mathematics Advance Access published online on July 14, 2008
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han018
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by De Andrés, L. C.
Right arrow Articles by Ugarte, L.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2008. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

CONTACT 5-MANIFOLDS WITH SU(2)-STRUCTURE

Luis C. De Andrés {dagger} and Marisa Fernández {ddagger}

Departamento de Matemáticas, Facultad de Ciencia Tecnología, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain

Anna Fino§

Dipartimento di Matematica, Universitá di Torino, Via Carlo Alberto 10, Torino, Italy

Luis Ugarte ¶

Departamento de Matemáticas-I.U.M.A., Universidad de Zaragoza, Campus Plaza San Francisco, 50009 Zaragoza, Spain

§ Corresponding author. E-mail: annamaria.fino{at}unito.it

Received 8 June 2007; revised 19 May 2008
  Abstract

We consider 5-manifolds with a contact form arising from a hypo structure, which we call hypo-contact. We provide existence conditions for such a structure on an oriented hypersurface of a 6-manifold with a half-flat SU(3)-structure. For half-flat manifolds with a Killing vector field X preserving the SU(3)-structure we study the geometry of the orbits space. Moreover, we describe the solvable Lie algebras admitting a hypo-contact structure. This allows us to exhibit examples of Sasakian {eta}-Einstein manifolds, as well as to prove that such structures give rise to new metrics with holonomy SU(3) and G2.

{dagger} E-mail: luisc.deandres{at}ehu.es

{ddagger} E-mail: marisa.fernandez{at}ehu.es

E-mail: ugarte{at}unizar.es


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.