Kaehler reduction of metrics with holonomy G_2
Differential Geometry
2009-11-10 v3
Abstract
A torsion-free G_2 structure admitting an infinitesimal isometry is shown to give rise to a 4-manifold equipped with a complex symplectic structure and a 1-parameter family of functions and 2-forms linked by second order equations. Reversing the process in various special cases leads to the construction of explicit metrics with holonomy equal to G_2.
Keywords
Cite
@article{arxiv.math/0303197,
title = {Kaehler reduction of metrics with holonomy G_2},
author = {Vestislav Apostolov and Simon Salamon},
journal= {arXiv preprint arXiv:math/0303197},
year = {2009}
}
Comments
Final version, to appear in Comm. Math. Phys