Connecting rational homotopy type singularities
From MaRDI portal
Publication:926021
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
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