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58Dxx

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Spaces and manifolds of mappings (including nonlinear versions of 46Exx)

[See also 46Txx, 53Cxx]
  • 58D05 Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
  • 58D07 Groups and semigroups of nonlinear operators [See also 17B65, 47H20]
  • 58D10 Spaces of imbeddings and immersions
  • 58D15 Manifolds of mappings [See also 46T10, 54C35]
  • 58D17 Manifolds of metrics (esp. Riemannian)
  • 58D19 Group actions and symmetry properties
  • 58D20 Measures (Gaussian, cylindrical, etc.) on manifolds of maps [See also 28Cxx, 46T12]
  • 58D25 Equations in function spaces; evolution equations [See also 34Gxx, 35K90, 35L90, 35R15, 37Lxx, 47Jxx]
  • 58D27 Moduli problems for differential geometric structures
  • 58D29 Moduli problems for topological structures
  • 58D30 Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.)
  • 58D99 None of the above, but in this section