An Analytical Criterion for the Completeness of Riemannian Manifolds

DOI10.2307/2038738zbMath0228.53032OpenAlexW4243683609MaRDI QIDQ5635994

William B. Gordon

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038738

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differentiable manifolds, foundations (58A05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

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Cites Work

• Differential geometry and the calculus of variations
• On Automorphisms of A Kählerian Structure
• The Existence of Complete Riemannian Metrics
• Completeness of Hamiltonian Vector Fields
• A Comparison Theorem for Hamiltonian Vector Fields
• On the Completeness of Hamiltonian Vector Fields
• Physical variational principles which satisfy the Palais-Smale condition