GENERALIZED G2-MANIFOLDS AND SU(3)-STRUCTURES

Author:

FINO ANNA1,TOMASSINI ADRIANO2

Affiliation:

1. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

2. Dipartimento di Matematica, Università di Parma, Viale G.P. Usberti 53/A, 43100 Parma, Italy

Abstract

We construct a family of compact 7-dimensional manifolds endowed with a weakly integrable generalized G2-structure with respect to a closed and non-zero 3-form. We relate the previous structures with SU(3)-structures in dimension 7. Moreover, we investigate which types of SU(3)-structures on a 6-dimensional manifold N give rise to a strongly integrable generalized G2-structure with respect to a non-zero 3-form on the product N × S1.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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