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arXiv · 0710.0734

Obstruction theory on 8-manifolds

Martin Cadek·Michael Crabb·Jiri Vanzura
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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).

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BibTeXRIS

Martin Cadek, Michael Crabb, Jiri Vanzura. 2007-10-03. Obstruction theory on 8-manifolds. https://doi.org/10.1007/s00229-008-0203-x

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