ON COMPACT HOMOGENEOUS -MANIFOLDS

DOI10.1017/S1446788719000296zbMath1504.53081arXiv1808.10160OpenAlexW3106095228MaRDI QIDQ5093761

Wolfgang Globke

Publication date: 1 August 2022

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10160

zbMATH Keywords

pseudo-Riemannian manifoldscompact homogeneous spaces\(\mathrm{G}_{2(2)}\) holonomy

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29)

Related Items (1)

On local extension of the group of parallel translations in three-dimensional space

Cites Work

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• Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension
• Torsion-free \(G^*_{2(2)}\)-structures with full holonomy on nilmanifolds
• Indefinite symmetric spaces with G₂₍₂₎ -structure
• Classification of compact homogeneous spaces with invariant G2-structures
• New relations between G2 geometries in dimensions 5 and 7
• Isometry Lie algebras of indefinite homogeneous spaces of finite volume

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