, Volume 95, Issue 3, pp 323-330

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.

Received: 2 May 1997