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SO(3)-Structures on 8-manifolds

By Simon G. Chiossi and Óscar Maciá

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.Comment: 19 pages, 2 figure

Topics: Mathematics - Differential Geometry, 53C10 (Primary) 53C15, 53C26 (Secondary)
Year: 2011
OAI identifier: oai:arXiv.org:1105.1746
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