Deformations of asymptotically cylindrical G2-manifolds

• Autores: Johannes Nordström
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 2, 2008, págs. 311-348
• Idioma: inglés
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• Resumen

  • 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 p1(M) is finite and neither M nor any double cover of M is homeomorphic to a cylinder.