58Dxx Spaces and manifolds of mappings \ExtraText{(including nonlinear versions of 46Exx)}

• 58D05 Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
• 58D07 Groups and semigroups of nonlinear operators [See also 17B65, 47D03, 47D06, 47H20]
• 58D10 Spaces of embeddings and immersions
• 58D15 Manifolds of mappings [See also 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]
• 58D25 Equations in function spaces; evolution equations [See also 34Gxx, 35K22, 35R15, 47H15]
• 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