ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES

The main purpose of this note is to construct almost complex or complex struc-tures 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.

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Veröffentlicht in:数学物理学报(英文版) 2022, Vol.42 (6), p.2223-2229
Hauptverfasser: Zizhou TANG, Wenjiao YAN
Format: Artikel
Sprache:eng
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Zusammenfassung:The main purpose of this note is to construct almost complex or complex struc-tures 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.
ISSN:0252-9602
DOI:10.3969/j.issn.0252-9602.2022.06.004