Kaehler reduction of metrics with holonomy G_2

Details Kaehler reduction of metrics with holonomy G_2 Kaehler reduction of metrics with holonomy G_2

2003-03-17

arxiv.org/abs/math/0303197v3

Mathematics

Differential Geometry

Final version, to appear in Comm. Math. Phys

Scientific paper

10.1007/s00220-003-1014-2

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.

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