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 S1×S7×S6, and on S1×S3×S2 with vanishing first Chern class, are built.
Zizhou TANG
,
Wenjiao YAN
. ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES[J]. Acta mathematica scientia, Series B, 2022
, 42(6)
: 2223
-2229
.
DOI: 10.1007/s10473-022-0603-0
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