Weak density of smooth maps in \(W^{1, 1}(M,N)\) for non-Abelian \({\pi}_1(N)\)

DOI10.1023/A:1021227017504zbMath1040.58002OpenAlexW2912477136MaRDI QIDQ1868400

Mohammad Reza Pakzad

Publication date: 27 April 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021227017504

zbMATH Keywords

minimal connectionstopological singularitiesdensity of smooth mapsSobolev spaces between manifolds.

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Manifolds of mappings (58D15)

Related Items (8)

Uniform boundedness principles for Sobolev maps into manifolds ⋮ A new obstruction to the extension problem for Sobolev maps between manifolds ⋮ Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces ⋮ Sobolev mappings, degree, homotopy classes and rational homology spheres ⋮ Sobolev Mappings between Manifolds and Metric Spaces ⋮ Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces ⋮ On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies ⋮ Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\)

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