58XX GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS [See also 32Cxx, 32Fxx, 32Wxx, 46XX, 47Hxx, 53Cxx](For geometric integration theory, see 49Q15)
 5800 General reference works (handbooks, dictionaries, bibliographies, etc.)
 5801 Instructional exposition (textbooks, tutorial papers, etc.)
 5802 Research exposition (monographs, survey articles)
 5803 Historical (must also be assigned at least one classification number from Section 01)
 5804 Explicit machine computation and programs (not the theory of computation or programming)
 5806 Proceedings, conferences, collections, etc.

58Axx General theory of differentiable manifolds [See also 32Cxx]
(1)
 58Bxx Infinitedimensional manifolds
 58Cxx Calculus on manifolds; nonlinear operators [See also 46Txx, 47Hxx, 47Jxx]
 58Dxx Spaces and manifolds of mappings (including nonlinear versions of 46Exx) [See also 46Txx, 53Cxx]
 58Exx Variational problems in infinitedimensional spaces
 58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds
 58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35XX, 53Cxx]
 58Kxx Theory of singularities and catastrophe theory [See also 32Sxx, 37 XX]
 58Zxx Applications to physics