La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 53-XX Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]
- 53-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 53-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 53-02 Research exposition (monographs, survey articles)
- 53-03 Historical (must also be assigned at least one classification number from Section 01)
- 53-04 Explicit machine computation and programs (not the theory of computation or programming)
- 53-06 Proceedings, conferences, collections, etc.
- 53-99 Differential geometry (not classified at a more specific level)
- 53Axx Classical differential geometry
- 53Bxx Local differential geometry
- 53Cxx Global differential geometry [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx]
- 53Dxx Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
- 53D05 Symplectic manifolds, general [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58F05, 70H05
- 53D10 Contact manifolds, general [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58F05, 70H05
- 53D12 Lagrangian submanifolds; Maslov index [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58F05, 70H05
- 53D15 Almost contact and almost symplectic manifolds [Nouveau code MSC 2000]
- Code MSC1991 affilié : 53C15
- 53D17 Poisson manifolds [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58F05, 70H05
- 53D20 Momentum maps; symplectic reduction [Nouveau code MSC 2000]
- 53D22 Canonical transformations [See also 70H15] [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58F05, 70H15
- 53D25 Geodesic flows [Nouveau code MSC 2000]
- 53D30 Symplectic structures of moduli spaces [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58D27, 58F05
- 53D35 Global theory of symplectic and contact manifolds [See also 57Rxx] [Nouveau code MSC 2000]
- 53D40 Floer homology and cohomology, symplectic aspects [See also 57R58] [Nouveau code MSC 2000]
- 53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] [Nouveau code MSC 2000]
- 53D50 Geometric quantization [See also 81S10] [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58F06, 81S10
- 53D55 Deformation quantization, star products [See also 81S10] [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58F06, 81S10
- 53D99 None of the above, but in this section [Nouveau code MSC 2000]
- 53Z05 Applications to physics [See also 53B50, 53C80 58Z05]
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