58-XX Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 46-XX, 47Hxx, 53Cxx; for geometric integration theory, see 49Q15]

• 58-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 58-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 58-02 Research exposition (monographs, survey articles)
• 58-03 Historical (must be assigned at least one classification number from Section 01)
• 58-04 Explicit machine computation and programs (not the theory of computation or programming)
• 58-06 Proceedings, conferences, collections, etc.
• 58Axx General theory of differentiable manifolds
• 58Bxx Infinite-dimensional manifolds
• 58Cxx Calculus on manifolds; nonlinear operators [See also 47Hxx]
• 58Dxx Spaces and manifolds of mappings \ExtraText{(including nonlinear versions of 46Exx)}
• 58Exx Variational problems in infinite-dimensional spaces
• 58Fxx Ordinary differential equations on manifolds; dynamical systems [See also 28D10, 34Cxx, 54H20]
• 58Gxx Partial differential equations on manifolds; differential operators [See also 35-XX]
• 58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds
• 58Z05 Applications to physics