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arXiv:2206.06574 [math.DG]AbstractReferencesReviewsResources

Isoparametric hypersurfaces and complex structures

Zizhou Tang, Wenjiao Yan

Published 2022-06-14Version 1

The main purpose of this note is to construct almost complex or complex structures on certain isoparametric hypersurfaces in unit spheres. As consequences, complex structures on $S^1\times S^7\times S^6$, and on $S^1\times S^3\times S^2$ with vanishing first Chern class, are built.

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