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  • 58-XX Global analysis, analysis on manifolds
  • 58Dxx Spaces and manifolds of mappings (including nonlinear versions of )
  • 58D30 Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.)

58Dxx Spaces and manifolds of mappings (including nonlinear versions of )

  • 58D05 Groups of diffeomorphisms and homeomorphisms as manifolds
  • 58D07 Groups and semigroups of nonlinear operators
  • 58D10 Spaces of imbeddings and immersions
  • 58D15 Manifolds of mappings
  • 58D17 Manifolds of metrics (esp. Riemannian)
  • 58D19 Group actions and symmetry properties
  • 58D20 Measures (Gaussian, cylindrical, etc.) on manifolds of maps
  • 58D25 Equations in function spaces; evolution equations
  • 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
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