La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Retour aux chapitres de la classification

58-XX Global analysis, analysis on manifolds [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 also 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.
• 58-99 Global analysis, analysis on manifolds (not classified at a more specific level)
• 58Axx General theory of differentiable manifolds [See also 32Cxx]
  • 58A03 Topos-theoretic approach to differentiable manifolds
  • 58A05 Differentiable manifolds, foundations
  • 58A07 Real-analytic and Nash manifolds [See also 14P20, 32C07]
  • 58A10 Differential forms
  • 58A12 de Rham theory [See also 14Fxx]
  • 58A14 Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35]
  • 58A15 Exterior differential systems (Cartan theory)
  • 58A17 Pfaffian systems
  • 58A20 Jets
  • 58A25 Currents [See also 32C30, 53C65]
  • 58A30 Vector distributions (subbundles of the tangent bundles)
  • 58A32 Natural bundles [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 58A05, 58A20
  • 58A35 Stratified sets [See also 32S60]
  • 58A40 Differential spaces
  • 58A50 Supermanifolds and graded manifolds [See also 14M30, 32C11]
  • 58A99 None of the above, but in this section
• 58Bxx Infinite-dimensional 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 infinite-dimensional spaces
• 58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds
• 58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx]
• 58Kxx Theory of singularities and catastrophe theory [See also 32Sxx, 37-XX]
• 58Z05 Applications to physics

Retour à la page Classification Mathématique par Matières (version 2000)