La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour 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]
- 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]
- 58J05 Elliptic equations on manifolds, general theory [See also 35-XX] [Nouveau code MSC 2000]
- 58J10 Differential complexes [See also 35Nxx]; elliptic complexes [Nouveau code MSC 2000]
- 58J15 Relations with hyperfunctions [Nouveau code MSC 2000]
- 58J20 Index theory and related fixed point theorems [See also 19K56, 46L80] [Nouveau code MSC 2000]
- 58J22 Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] [Nouveau code MSC 2000]
- 58J26 Elliptic genera [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 11F11, 58G10, 58G12
- 58J28 Eta-invariants, Chern-Simons invariants [Nouveau code MSC 2000]
- 58J30 Spectral flows [Nouveau code MSC 2000]
- 58J32 Boundary value problems on manifolds [Nouveau code MSC 2000]
- 58J35 Heat and other parabolic equation methods [Nouveau code MSC 2000]
- 58J37 Perturbations; asymptotics [Nouveau code MSC 2000]
- 58J40 Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] [Nouveau code MSC 2000]
- 58J42 Noncommutative global analysis, noncommutative residues [Nouveau code MSC 2000]
- 58J45 Hyperbolic equations [See also 35Lxx] [Nouveau code MSC 2000]
- 58J47 Propagation of singularities; initial value problems [Nouveau code MSC 2000]
- 58J50 Spectral problems; spectral geometry; scattering theory [See also 35Pxx] [Nouveau code MSC 2000]
- 58J52 Determinants and determinant bundles, analytic torsion [Nouveau code MSC 2000]
- 58J53 Isospectrality [Nouveau code MSC 2000]
- 58J55 Bifurcation [See also 35B32] [Nouveau code MSC 2000]
- 58J60 Relations with special manifold structures (Riemannian, Finsler, etc.) [Nouveau code MSC 2000]
- 58J65 Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60] [Nouveau code MSC 2000]
- 58J70 Invariance and symmetry properties [See also 35A30] [Nouveau code MSC 2000]
- 58J72 Correspondences and other transformation methods (e.g. Lie-Bäcklund) [See also 35A22] [Nouveau code MSC 2000]
- 58J90 Applications [Nouveau code MSC 2000]
- 58J99 None of the above, but in this section [Nouveau code MSC 2000]
- 58Kxx Theory of singularities and catastrophe theory [See also 32Sxx, 37-XX]
- 58Z05 Applications to physics
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