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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 53 | Differential geometry | ||
| 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 | ||
| 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) | ||
| 53A | Classical differential geometry | ||
| 53A04 | Curves in Euclidean space | ||
| 53A05 | Surfaces in Euclidean space | ||
| 53A07 | Higher-dimensional and -codimensional surfaces in Euclidean $n$-space | ||
| 53A10 | Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42] | ||
| 53A15 | Affine differential geometry | ||
| 53A17 | Kinematics | ||
| 53A20 | Projective differential geometry | ||
| 53A25 | Differential line geometry | ||
| 53A30 | Conformal differential geometry | ||
| 53A35 | Non-Euclidean differential geometry | ||
| 53A40 | Other special differential geometries | ||
| 53A45 | Vector and tensor analysis | ||
| 53A55 | Differential invariants (local theory), geometric objects | ||
| 53A60 | Geometry of webs [See also 14C21, 20N05] | ||
| 53A99 | None of the above, but in this section | ||
| 53B | Local differential geometry | ||
| 53B05 | Linear and affine connections | ||
| 53B10 | Projective connections | ||
| 53B15 | Other connections | ||
| 53B20 | Local Riemannian geometry | ||
| 53B21 | Methods of Riemannian geometry | ||
| 53B25 | Local submanifolds [See also 53C40] | ||
| 53B30 | Lorentz metrics, indefinite metrics | ||
| 53B35 | Hermitian and Kählerian structures [See also 32Cxx] | ||
| 53B40 | Finsler spaces and generalizations (areal metrics) | ||
| 53B50 | Applications to physics | ||
| 53B99 | None of the above, but in this section | ||
| 53C | Global differential geometry [See also 51H25, 58-XX] {For related bundle theory, see 55Rxx, 57Rxx} | ||
| 53C05 | Connections, general theory | ||
| 53C07 | Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] | ||
| 53C10 | $G$-structures | ||
| 53C12 | Foliations (differential geometric aspects) [See also 57R30, 57R32] | ||
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) | ||
| 53C17 | Sub-Riemannian geometry | ||
| 53C20 | Global Riemannian geometry, including pinching [See also 31C12, 58B20] | ||
| 53C21 | Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] | ||
| 53C22 | Geodesics [See also 58E10] | ||
| 53C23 | Global topological methods (à la Gromov) | ||
| 53C24 | Rigidity results | ||
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) | ||
| 53C26 | Hyper-Kähler and quaternionic Kähler geometry, `special'' geometry | ||
| 53C27 | Spin and Spin$^c$ geometry | ||
| 53C28 | Twistor methods [See also 32L25] | ||
| 53C29 | Issues of holonomy | ||
| 53C30 | Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15] | ||
| 53C35 | Symmetric spaces [See also 32M15, 57T15] | ||
| 53C38 | Calibrations and calibrated geometries | ||
| 53C40 | Global submanifolds [See also 53B25] | ||
| 53C42 | Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] | ||
| 53C43 | Differential geometric aspects of harmonic maps [See also 58E20] | ||
| 53C44 | Geometric evolution equations (mean curvature flow) | ||
| 53C45 | Global surface theory (convex surfaces à la A. D. Aleksandrov) | ||
| 53C50 | Lorentz manifolds, manifolds with indefinite metrics | ||
| 53C55 | Hermitian and Kählerian manifolds [See also 32Cxx] | ||
| 53C56 | Other complex differential geometry [See also 32Cxx] | ||
| 53C60 | Finsler spaces and generalizations (areal metrics) [See also 58B20] | ||
| 53C65 | Integral geometry [See also 52A22, 60D05] | ||
| 53C70 | Direct methods ($G$-spaces of Busemann, etc.) | ||
| 53C75 | Geometric orders, order geometry [See also 51Lxx] | ||
| 53C80 | Applications to physics | ||
| 53C99 | None of the above, but in this section | ||
| 53D | Symplectic geometry, contact geometry [See also 37-XX] | ||
| 53D05 | Symplectic manifolds, general | ||
| 53D10 | Contact manifolds, general | ||
| 53D12 | Lagrangian submanifolds; Maslov index | ||
| 53D15 | Almost contact and almost symplectic manifolds | ||
| 53D17 | Poisson manifolds | ||
| 53D20 | Momentum maps; symplectic reduction | ||
| 53D22 | Canonical transformations | ||
| 53D25 | Geodesic flows | ||
| 53D30 | Symplectic structures of moduli spaces | ||
| 53D35 | Global theory of symplectic and contact manifolds [See also 57Rxx] | ||
| 53D40 | Floer homology and cohomology, symplectic aspects | ||
| 53D45 | Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] | ||
| 53D50 | Geometric quantization | ||
| 53D55 | Deformation quantization, star products | ||
| 53D99 | None of the above, but in this section | ||
| 53Z05 | Applications to physics | ||
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