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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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