Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (6): 2223-2229.doi: 10.1007/s10473-022-0603-0

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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:
  • Supported by:
    The project is partially supported by the NSFC (11871282, 11931007), BNSF (Z190003), and Nankai Zhide Foundation.

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

CLC Number: 

  • 53C15