Harmonic morphisms of compact homogeneous spaces of positive curvature

Authors

  • Hajime Urakawai

DOI:

https://doi.org/10.1285/i15900932v41n1p1

Keywords:

Riemannian submersion, homogeneous space, Aloff-Wallach space, positive curvature, harmonic morphism

Abstract

In this paper, we show that the projection of every compact Riemannian manifold of positive curvature onto a rank one symmetric space is harmonic. As a corollary, an infinite family of distinct harmonic morphisms with minimal circle fibers from the 7-dimensional homogeneous Aloff-Wallach spaces of positive curvature onto the 6-dimensional flag manifolds is given.

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Published

19-07-2021

Issue

Volume 41, issue 1 (2021)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode