SO(3)-Structures on 8-manifolds

Details SO(3)-Structures on 8-manifolds SO(3)-Structures on 8-manifolds

2011-05-09

arxiv.org/abs/1105.1746v1

Mathematics

Differential Geometry

19 pages, 2 figures

Scientific paper

We study Riemannian 8-manifolds with an infinitesimal action of SO(3) by
which each tangent space breaks into irreducible spaces of dimensions 3 and 5.
The relationship with quaternionic, almost product- and PSU-geometry is
thoroughly explained using representation-theoretical arguments.

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