English

Isoparametric hypersurfaces and complex structures

Differential Geometry 2022-09-02 v2

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 S1×S7×S6S^1\times S^7\times S^6, and on S1×S3×S2S^1\times S^3\times S^2 with vanishing first Chern class, are built.

Keywords

Cite

@article{arxiv.2206.06574,
  title  = {Isoparametric hypersurfaces and complex structures},
  author = {Zizhou Tang and Wenjiao Yan},
  journal= {arXiv preprint arXiv:2206.06574},
  year   = {2022}
}

Comments

9 pages, to appear in Acta Mathematica Scientia

R2 v1 2026-06-24T11:50:12.944Z