Open AccessFlat circle bundles, pullbacks, and the circle made discrete
Author(s) -
John Oprea,
Daniel Tanré
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.3487
Subject(s) - mathematics , pure mathematics , bundle , class (philosophy) , euler's formula , mathematical analysis , geometry , algebra over a field , materials science , artificial intelligence , computer science , composite material
We use basic homotopical methods applied to Lie groups made discrete to prove that the real Euler class of a circle bundle vanishes if and only if the bundle is flat
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