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On complex structures¶in 8-dimensional vector bundles |
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| Authors: | Martin Čadek Jiří Vanžura |
| Institution: | Faculty of Sciences, Masaryk University, Janá?kovo nám. 2a, 662 95 Brno,?Czech Republic. e-mail: cadek@math.muni.cz, CZ Academy of Sciences of the Czech Republic, Institute of Mathematics, ?i?kova 22,?61662 Brno, Czech Republic. e-mail: vanzura@ipm.cz, CZ |
| Abstract: | Necessary and sufficient conditions for the existence of a complex structure in an 8-dimensional spin vector bundle over a closed connected spin manifold of dimension 8 are given in terms of characteristic classes. The result completes the papers by Heaps H] and Thomas T] on the same topic. Received: 2 May 1997 |
| Keywords: | Mathematics Subject Classification (1991): 57R22 57R25 55R25 22E99 |
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