ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES

doi:10.1007/s10473-022-0603-0

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

ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES

Zizhou TANG¹, Wenjiao YAN²

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. 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/Abstract

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

Zizhou TANG, Wenjiao YAN. ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES[J]. 数学物理学报(英文版), 2022, 42(6): 2223-2229.

Zizhou TANG, Wenjiao YAN. ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES[J]. Acta mathematica scientia,Series B, 2022, 42(6): 2223-2229.

参考文献

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ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES

ISOPARAMETRIC HYPERSURFACES AND COMPLEX STRUCTURES

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