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On complex structures¶in 8-dimensional vector bundles

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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.

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Authors and Affiliations

  1. Faculty of Sciences, Masaryk University, Janáčkovo nám. 2a, 662 95 Brno,¶Czech Republic. e-mail: cadek@math.muni.cz, , , , , , CZ

    Martin Čadek

  2. Academy of Sciences of the Czech Republic, Institute of Mathematics, Žižkova 22,¶61662 Brno, Czech Republic. e-mail: vanzura@ipm.cz, , , , , , CZ

    Jiří Vanžura

Authors
  1. Martin Čadek
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  2. Jiří Vanžura
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Received: 2 May 1997

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Čadek, M., Vanžura, J. On complex structures¶in 8-dimensional vector bundles. manuscripta math. 95, 323–330 (1998). https://doi.org/10.1007/s002290050032

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  • DOI: https://doi.org/10.1007/s002290050032

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