Compact affine manifolds with precompact holonomy are geodesically complete

DOI10.1016/j.jmaa.2015.12.037zbMath1333.53066arXiv1511.03605OpenAlexW2963540499MaRDI QIDQ2634193

Luis Alberto Aké Hau, Miguel Sánchez

Publication date: 8 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03605

zbMATH Keywords

holonomygeodesic completenessaffine manifoldslinear connectionsextendibility solutions of ODELorentzian and semi-Riemannian manifolds

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05)

Related Items (4)

Completeness of certain compact Lorentzian locally symmetric spaces ⋮ Unnamed Item ⋮ Compact Lorentzian holonomy ⋮ Unnamed Item

Cites Work

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• Closed similarity Lorentzian affine manifolds
• Completeness of Compact Lorentz Manifolds Admitting a Timelike Conformal Killing Vector Field
• Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev

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