Connecting rational homotopy type singularities

DOI10.1007/s11511-008-0023-6zbMath1148.58003OpenAlexW1982886927MaRDI QIDQ926021

Tristan Rivière, Robert M. Hardt

Publication date: 26 May 2008

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11511-008-0023-6

zbMATH Keywords

topological singularitiesSobolev mapstrong approximability

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Harmonic maps, etc. (58E20) Manifolds of mappings (58D15)

Related Items

On global singularities of Sobolev mappings ⋮ On sequences of maps with finite energies in trace spaces between manifolds ⋮ The homological singularities of maps in trace spaces between manifolds ⋮ Sequential weak approximation for maps of finite Hessian energy ⋮ A lower bound on the quantitative version of the transversality theorem ⋮ An estimate of the Hopf degree of fractional Sobolev mappings ⋮ Quantitative estimates for fractional Sobolev mappings in rational homotopy groups ⋮ Unnamed Item ⋮ 𝑄-valued functions revisited ⋮ Notes on a slice distance for singular \(L^p\)-bundles ⋮ A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces ⋮ Topological and analytical properties of Sobolev bundles. I: The critical case ⋮ A note on generic transversality of Euclidean submanifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the weak limits of smooth maps for the Dirichlet energy between manifolds
• Lax type representation for embeddings of manifolds in non-Riemannian enveloping spaces
• Harmonic maps with defects
• Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
• The Dirichlet energy of mappings with values into the sphere
• The approximation problem for Sobolev maps between two manifolds
• Infinitesimal computations in topology
• Minimizing fibrations and \(p\)-harmonic maps in homotopy classes from \(S^3\) into \(S^2\)
• Asymptotics for the minimization of a Ginzburg-Landau functional
• Weak density of smooth maps for the Dirichlet energy between manifolds
• Functions with prescribed singularities
• Topology of Sobolev mappings. II.
• Rectifiable and flat <i>G</i> chains in a metric space
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• The analytic generalized Hopf invariant. Many-valued functionals
• Topology of Sobolev mappings III
• Rational homotopy theory and differential forms
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
• Topology of Sobolev mappings