About: Obstruction theory on 8-manifolds

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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). 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). (en)
Title	Obstruction theory on 8-manifolds Obstruction theory on 8-manifolds (en)
skos:prefLabel	Obstruction theory on 8-manifolds Obstruction theory on 8-manifolds (en)
skos:notation	RIV/00216224:14310/08:00026625!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/05/2117), Z(AV0Z10190503), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Čadek, Martin
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	383987
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/08:00026625
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Reduction of the structure group; complex structure; quaternionic structure (en)
http://linked.open.../riv/klicoveSlovo	quaternionic structure complex structure Reduction of the structure group
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[F23C1461E673]
http://linked.open...i/riv/nazevZdroje	Manuscripta Mathematica
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Algebraic methods in topology and geometry
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	127(2008)
http://linked.open...iv/tvurceVysledku	Čadek, Martin Vanžura, Jiří Crabb, Michael
http://linked.open...ain/vavai/riv/wos	000259440300003
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Matematické struktury a jejich fyzikální aplikace
issn	0025-2611
number of pages	20 (xsd:int)
http://localhost/t...ganizacniJednotka	14310
is http://linked.open...avai/riv/vysledek of	Obstruction theory on 8-manifolds Obstruction theory on 8-manifolds Obstruction theory on 8-manifolds Obstruction theory on 8-manifolds

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