Spin(7)-manifolds with three-torus symmetry

Details Spin(7)-manifolds with three-torus symmetry Spin(7)-manifolds with three-torus symmetry

2011-04-15

arxiv.org/abs/1104.3089v1

J.Geom.Phys.61:2285-2292,2011

Mathematics

Differential Geometry

Scientific paper

10.1016/j.geomphys.2011.07.008

Metrics of exceptional holonomy are vacuum solutions to the Einstein
equation. In this paper we describe manifolds with holonomy contained in
Spin(7) preserved by a three-torus symmetry in terms of tri-symplectic geometry
of four-manifolds. These complement examples that have appeared in the context
of domain wall problems in supergravity.

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