Obstruction theory on 8-manifolds
Algebraic Topology
2008-10-29 v1 Geometric Topology
Abstract
This note gives a uniform, self-contained, and fairly direct approach to a variety of obstruction-theoretic problems on 8-manifolds. We give necessary and sufficient cohomological critera for the existence of almost complex and almost quaternionic structures on the tangent bundle and for the reduction of the structure group to U(3) by the homomorphism U(3) --> O(8) given by the Lie algebra representation of PU(3).
Keywords
Cite
@article{arxiv.0710.0734,
title = {Obstruction theory on 8-manifolds},
author = {Martin Cadek and Michael Crabb and Jiri Vanzura},
journal= {arXiv preprint arXiv:0710.0734},
year = {2008}
}
Comments
19 pages