数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (6): 2223-2229.doi: 10.1007/s10473-022-0603-0

• 论文 • 上一篇    下一篇

ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES

Zizhou TANG1, Wenjiao YAN2   

  1. 1. Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China;
    2. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2022-06-17 出版日期:2022-12-25 发布日期:2022-12-16
  • 通讯作者: Wenjiao YAN, E-mail: wjyan@bnu.edu.cn E-mail:wjyan@bnu.edu.cn
  • 基金资助:
    The project is partially supported by the NSFC (11871282, 11931007), BNSF (Z190003), and Nankai Zhide Foundation.

ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES

Zizhou TANG1, Wenjiao YAN2   

  1. 1. Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China;
    2. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing 100875, China
  • Received:2022-06-17 Online:2022-12-25 Published:2022-12-16
  • Contact: Wenjiao YAN, E-mail: wjyan@bnu.edu.cn E-mail:wjyan@bnu.edu.cn
  • Supported by:
    The project is partially supported by the NSFC (11871282, 11931007), BNSF (Z190003), and Nankai Zhide Foundation.

摘要: 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.

关键词: almost complex structure, integrable, Hermitian structure, isoparametric hypersurface

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×S6, and on S1×S3×S2 with vanishing first Chern class, are built.

Key words: almost complex structure, integrable, Hermitian structure, isoparametric hypersurface

中图分类号: 

  • 53C15