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Homomorphism between homotopy groups induced by elements of the Sobolev space \(L^{1,p}(M,N)\)

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Publication:1313288
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DOI10.1007/BF02599297zbMath0806.57023MaRDI QIDQ1313288

Nobumitsu Nakauchi

Publication date: 16 February 1995

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

Full work available at URL: https://eudml.org/doc/155792

zbMATH Keywords

\(L^ p\)-maps between Riemannian manifoldsinduced map on homotopy groups


Mathematics Subject Classification ID

Differential topology (57R99) Calculus on manifolds; nonlinear operators (58C99) Homotopy groups (55Q99)


Related Items

Path and quasi-homotopy for Sobolev maps between manifolds



Cites Work

  • Unnamed Item
  • A regularity theory for harmonic maps
  • Infima of energy functionals in homotopy classes of mappings
  • Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
  • Density of smooth functions between two manifolds in Sobolev spaces
  • Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
  • The approximation problem for Sobolev maps between two manifolds
  • A remark on \(H^ 1\) mappings
  • Mappings minimizing theLp norm of the gradient
  • A Report on Harmonic Maps
  • Embeddings and immersions in Riemannian geometry
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