Isoparametric hypersurfaces and complex structures

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 $S^1\times S^7\times S^6$, and on $S^1\times S^3\times S^2$ with vanishing first Chern class, are built.

9 pages, to appear in Acta Mathematica Scientia

References in corpus (1)

• Topology and curvature of isoparametric families in spheres

Cited by in corpus (1)

• Orthogonal almost complex structure and its Nijenhuis tensor