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