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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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