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Deformations of asymptotically cylindrical G2-manifolds

Published online by Cambridge University Press:  01 September 2008

JOHANNES NORDSTRÖM
JOHANNES NORDSTRÖM*
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Cambridge University e-mail: [email protected]
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Abstract

We prove that for a 7-dimensional manifold M with cylindrical ends the moduli space of exponentially asymptotically cylindrical torsion-free G2-structures is a smooth manifold (if non-empty), and study some of its local properties. We also show that the holonomy of the induced metric of an exponentially asymptotically cylindrical G2-manifold is exactly G2 if and only if the fundamental group π1(M) is finite and neither M nor any double cover of M is homeomorphic to a cylinder.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 2 , September 2008 , pp. 311 - 348
Copyright
Copyright © Cambridge Philosophical Society 2008

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