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Kaehler reduction of metrics with holonomy G_2

Vestislav Apostolov·Simon Salamon
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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.

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Vestislav Apostolov, Simon Salamon. 2004-01-31. Kaehler reduction of metrics with holonomy G_2. https://doi.org/10.1007/s00220-003-1014-2

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