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Obstruction theory on 8-manifolds
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SYSNO ASEP 0316430 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Obstruction theory on 8-manifolds Title Teorie obstrukcí na 8-rozměrných varietách Author(s) Čadek, M. (CZ)
Crabb, M. (GB)
Vanžura, Jiří (MU-W) RID, SAISource Title Manuscripta mathematica - ISSN 0025-2611
Roč. 127, č. 2 (2008), s. 167-186Number of pages 20 s. Language eng - English Country DE - Germany Keywords 8-manifolds ; obstruction theory Subject RIV BA - General Mathematics R&D Projects GA201/05/2117 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000259440300003 Annotation This paper 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 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 U(3-O(8) given by the Lie algebra representation of PU(3). Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2009
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