58-XX Global analysis, analysis on manifolds, See also {{ 32-XX} {32Cxx, 32Fxx}, 46-XX, 47Hxx, 53Cxx; for geometric integration theory, See {49Fxx} {49Q15}} ( 0 Dok.)

• 58-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 58-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 58-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 58-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 58-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 58-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 58Axx General theory of differentiable manifolds ( 0 Dok. )
• 58Bxx Infinite-dimensional manifolds ( 0 Dok. )
• 58Cxx Calculus on manifolds; nonlinear operators, See also {47Hxx} ( 0 Dok. )
• 58Dxx Spaces and manifolds of mappings {(including nonlinear versions of 46Exx)} ( 0 Dok. )
• 58Exx Variational problems in infinite-dimensional spaces ( 0 Dok. )
• 58Fxx Ordinary differential equations on manifolds; dynamical systems, See also {28D10, 34Cxx, {34Cxx} {54H20}} ( 0 Dok. )
• 58Gxx Partial differential equations on manifolds; differential operators, See also {35-XX} ( 0 Dok. )
• 58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds ( 0 Dok. )
• 58Z05 Applications to physics ( 0 Dok.)