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@article{788153,
author = {Čadek, Martin and Crabb, Michael and Vanžura, Jiří},
article_number = {2},
keywords = {Reduction of the structure group; complex structure; quaternionic structure},
language = {eng},
issn = {0025-2611},
journal = {Manuscripta Mathematica},
title = {Obstruction theory on 8-manifolds},
url = {http://www.springerlink.com/content/km887775657x4821/?p=c8e1189214394ca5aa586ba53e457947&pi=2},
volume = {127(2008)},
year = {2008}
}
TY - JOUR
ID - 788153
AU - Čadek, Martin - Crabb, Michael - Vanžura, Jiří
PY - 2008
TI - Obstruction theory on 8-manifolds
JF - Manuscripta Mathematica
VL - 127(2008)
IS - 2
SP - 167-186
EP - 167-186
SN - 00252611
KW - Reduction of the structure group
KW - complex structure
KW - quaternionic structure
UR - http://www.springerlink.com/content/km887775657x4821/?p=c8e1189214394ca5aa586ba53e457947&pi=2
N2 - This paper gives a uniform, self-contained, and fairly direct approach to a variety of obstruction-theoretic problems on 8-manifolds. It gives necessary and sufficient cohomological criteria for the existence of complex and quaternionic structures on eight-dimensional vector bundles and for the reduction of the structure group of such bundles to U(3) by the homomorphism from U(3) to O(8) given by the Lie algebra representation of PU(3).
ER -
ČADEK, Martin, Michael CRABB a Jiří VANŽURA. Obstruction theory on 8-manifolds. \textit{Manuscripta Mathematica}. 2008, roč.~127(2008), č.~2, s.~167-186. ISSN~0025-2611.
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