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Licensed Unlicensed Requires Authentication Published by De Gruyter October 8, 2014

On deformations of G2-structures by Killing vector fields

Nülifer Özdemir and Şirin Aktay
From the journal Advances in Geometry

Abstract

In this paper, vectorial type deformations of a 7-dimensional manifold with structure group G2 are considered. The fundamental 3-form of such a manifold is deformed by a vector field, and the new cross product and the new Levi-Civita covariant derivation of the new metric are obtained in terms of the old ones. An example of a 7-dimensional manifold with structure group G2 which is in the widest class W in the classification of Fernández and Gray is given; this manifold has a nontrivial Killing vector field corresponding to the new metric.

Published Online: 2014-10-8
Published in Print: 2014-10-1

© 2014 by Walter de Gruyter Berlin/Boston

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