SO(3)-Structures on 8-manifolds

Abstract

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.

19 pages, 2 figures

References in corpus (2)

• The Srni lectures on non-integrable geometries with torsion
• On types of non-integrable geometries