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Kaehler reduction of metrics with holonomy G_2

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arxiv math/0303197 v3 pith:ZMX7L2S2 submitted 2003-03-17 math.DG

Vestislav Apostolov , Simon Salamon This is my paper · ORCID
classification math.DG
keywords holonomymetricsstructureadmittingcasescomplexconstructionequal
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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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  1. Special Holonomy Manifolds, Domain Walls, Intersecting Branes and T-folds

    hep-th 2019-08 conditional novelty 6.0 of 10

    The Gibbons-Lu-Pope-Stelle special holonomy domain wall metrics are T-dual to intersecting brane systems, yielding new multi-function special holonomy metrics and T-fold backgrounds.

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