SO(3)-Structures on 8-manifolds
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.Comment: 19 pages, 2 figure
Mathematics - Differential Geometry, 53C10 (Primary) 53C15, 53C26 (Secondary)
Sorry, we are unable to provide the full text but you may find it at the following location(s):
http://arxiv.org/abs/1105.1746 (external link)