Spin(7)-manifolds with parallel torsion form

Details Spin(7)-manifolds with parallel torsion form Spin(7)-manifolds with parallel torsion form

2008-07-30

arxiv.org/abs/0807.4875v3

Comm.Math.Phys.291:303-320,2009

Mathematics

Differential Geometry

16 pages, minor revision

Scientific paper

10.1007/s00220-009-0879-0

Any Spin(7)-manifold admits a metric connection \nabla^c with totally skew-symmetric torsion T^c preserving the underlying structure. We classify those with \nabla^c-parallel T^c\neq0 and non-Abelian isotropy algebra iso(T^c)

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