Geodesics orbiting a singularity

DOI10.1007/s00022-023-00701-6arXiv2304.02895MaRDI QIDQ6181314

Jørgen Olsen Lye, Daniel Grieser

Publication date: 22 January 2024

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.02895

zbMATH Keywords

geodesicsconical singularitysingular Hamiltonian systemscuspidal singularity

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differentiable maps on manifolds (58C25) Critical points of functions and mappings on manifolds (58K05) Topological properties of mappings on manifolds (58K15)

Cites Work

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• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• The exponential map at a cuspidal singularity
• Propagation of singularities for the wave equation on conic manifolds
• A natural differential operator on conic spaces
• On the existence and the regularity of solutions of linear pseudo- differential equations
• Generalized Blow-Up of Corners and Fiber Products
• Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces
• Manifolds of Negative Curvature

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