SO(3)-Structures on 8-manifolds

Simon G. Chiossi; Óscar Maciá

SO(3)-Structures on 8-manifolds

Differential Geometry 2013-03-29 v1

Authors: Simon G. Chiossi , 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.

Keywords

almost contact manifolds manifolds holonomy

Cite

@article{arxiv.1105.1746,
  title  = {SO(3)-Structures on 8-manifolds},
  author = {Simon G. Chiossi and Óscar Maciá},
  journal= {arXiv preprint arXiv:1105.1746},
  year   = {2013}
}

Comments

19 pages, 2 figures

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