Pith. sign in

REVIEW 1 cited by

Kaehler reduction of metrics with holonomy G_2

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

Pith tools