Year: 2008
Type: article
Abstract: We prove that for a 7-dimensional manifoldMwith cylindrical ends the moduli space of exponentially asymptotically cylindrical torsion-freeG2-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 cylindricalG2-manifold is exactlyG2if and only if the fundamental group π1(M) is finite and neitherMnor any double cover ofMis homeomorphic to a cylinder.
Author: JOHANNES NORDSTRÖM
Institution: University of Cambridge
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2155057600