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On G2-manifolds and geometry in dimensions 6 and 8

Part of: Global differential geometry Linear algebraic groups and related topics

Published online by Cambridge University Press:  12 August 2025

Radu Pantilie
Radu Pantilie*
Affiliation:
Institutul de Matematică “Simion Stoilow” al Academiei Române, 014700, Bucureşti, România
*
Corresponding author: Radu Pantilie; Email: r.pantilie@gmail.com
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Abstract

We study the geometry induced on the local orbit spaces of Killing vector fields on (Riemannian) $G$-manifolds, with an emphasis on the cases $G=\textrm {Spin}(7)$ and $G=G_2$. Along the way, we classify the harmonic morphisms with one-dimensional fibres from $G_2$-manifolds to Einstein manifolds.

MSC classification

Primary: 53C29: Issues of holonomy 20G41: Exceptional groups

Information

Type
Research Article
Information
Glasgow Mathematical Journal , First View , pp. 1 - 9
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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