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arXiv · 2206.06574

Isoparametric hypersurfaces and complex structures

Zizhou Tang·Wenjiao Yan
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Abstract

The main purpose of this note is to construct almost complex or complex structures on certain isoparametric hypersurfaces in unit spheres. As a consequence, 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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Zizhou Tang, Wenjiao Yan. 2022-09-01. Isoparametric hypersurfaces and complex structures. https://doi.org/10.1007/s10473-022-0603-0

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