Multi-moment maps on nearly Kähler six-manifolds

Giovanni Russo*

*Corresponding author af dette arbejde

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Abstract

We study multi-moment maps on nearly Kähler six-manifolds with a two-torus symmetry. Critical points of these maps have non-trivial stabilisers. The configuration of fixed-points and one-dimensional orbits is worked out for generic six-manifolds equipped with an SU (3) -structure admitting a two-torus symmetry. Projecting the subspaces obtained to the orbit space yields a trivalent graph. We illustrate this result concretely on the homogeneous nearly Kähler examples.

OriginalsprogEngelsk
TidsskriftGeometriae Dedicata
Vol/bind213
Nummer1
Sider (fra-til)57-81
Antal sider25
ISSN0046-5755
DOI
StatusUdgivet - aug. 2021

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