On invariant linearization of Lie groupoids

DOI10.1007/s11005-021-01453-7zbMath1486.22001arXiv2105.09760OpenAlexW3161673771MaRDI QIDQ2230656

Mateus de Melo, Matías L. del Hoyo

Publication date: 28 September 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09760

zbMATH Keywords

linearizationLie groupoidsinvariant metricsdifferentiable stacks

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)

Related Items (2)

Geodesics on Riemannian stacks ⋮ Isometric Lie 2-group actions on Riemannian groupoids

Cites Work

• Complete connections on fiber bundles
• Lie groupoids and their orbispaces
• Riemannian metrics on Lie groupoids
• Geometry of orbit spaces of proper Lie groupoids
• Submersions and geodesics
• Riemannian metrics on differentiable stacks
• Geodesics on Riemannian stacks
• Proper groupoids and momentum maps: Linearization, affinity, and convexity
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• LINEARIZATION OF REGULAR PROPER GROUPOIDS
• Submersions, fibrations and bundles
• A slice theorem for singular Riemannian foliations, with applications
• On the linearization theorem for proper Lie groupoids
• Lie groups

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