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Complex structures in real vector bundles over 8-manifolds

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Abstract

Let M be an 8-dimensional closed oriented smooth manifold, \(\xi \) be an 8-dimensional real vector bundle over M. The necessary and sufficient conditions for \(\xi \) to admit a complex structure over M are given in terms of the characteristic classes of \(\xi \) and M.

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Acknowledgements

The author is partially supported by the National Natural Science Foundation of China (Grant No. 11301145).

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  1. School of Mathematics and Statistics, Henan University, Kaifeng, 475004, Henan, China

    Huijun Yang

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  1. Huijun Yang
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Correspondence to Huijun Yang.

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Yang, H. Complex structures in real vector bundles over 8-manifolds. manuscripta math. 157, 425–433 (2018). https://doi.org/10.1007/s00229-017-0995-7

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  • DOI: https://doi.org/10.1007/s00229-017-0995-7

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