58-XX Global analysis, analysis on manifolds
See also {{
32-XX} {32Cxx, 32Fxx}, 46-XX, 47Hxx, 53Cxx; for
geometric integration theory, See {49Fxx} {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 {(including nonlinear
versions of 46Exx)}
- 58Exx Variational problems in infinite-dimensional spaces
- 58Fxx Ordinary differential equations on manifolds; dynamical
systems, See also {28D10, 34Cxx, {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