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ISSN 2167-5163
MSC results for "53"
53 (1940-now) Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]
53-00 (1973-now) General reference works (handbooks, dictionaries, bibliographies, etc.)
53-01 (1973-now) Instructional exposition (textbooks, tutorial papers, etc.)
53-02 (1973-now) Research exposition (monographs, survey articles)
53-03 (1973-now) Historical (must also be assigned at least one classification number from Section 01)
53-04 (1980-now) Explicit machine computation and programs (not the theory of computation or programming)
53-06 (1973-now) Proceedings, conferences, collections, etc.
53A (1973-now) Classical differential geometry
53B (1973-now) Local differential geometry
53C (1973-now) Global differential geometry [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx]
53D (2000-now) Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
53Z (2010-now) Applications to physics
53.00 (1959-1972) General
53.01 (1959-1972) Curves and surfaces in Euclidean spaces
53.04 (1959-1972) Minimal surfaces
53.0 (1940-1958) Differential geometry
53.10 (1959-1972) Affine differential geometry
53.1 (1940-1958) Riemannian geometry, connections
53.20 (1959-1972) Projective differential geometry
53.23 (1959-1972) Differential line geometry
53.25 (1959-1972) Conformal differential geometry
53.2 (1940-1958) Manifolds, connections
53.30 (1959-1972) Non-Euclidean differential geometry
53.32 (1959-1972) Other special differential geometries
53.35 (1959-1972) Vector and tensor analysis
53.38 (1959-1972) Spinor analysis
53.3 (1940-1958) Complex manifolds
53.40 (1959-1972) Differential manifolds (general theory), e.g., definitions, jets, tangent bundles [See also 57.30]
53.42 (1959-1972) Differential invariants (local theory), geometric objects
53.45 (1959-1972) Differential calculus (global theory); forms, currents, integration, tensor fields, etc. [See also 57.50]
53.50 (1959-1972) Connections, general
53.52 (1959-1972) $G$-Structures
53.55 (1959-1972) Affine connections
53.60 (1959-1972) Projective connections
53.66 (1959-1972) Homogeneous manifolds [See also 22.70, 57.45]
53.70 (1959-1972) Local Riemannian geometry
53.72 (1959-1972) Riemannian manifolds
53.73 (1959-1972) Symmetric spaces [See also 22.70, 57.45]
53.74 (1959-1972) Submanifolds, isometric imbeddings [See also 57.20]
53.75 (1959-1972) Global surface theory (convex surfaces)
53.78 (1959-1972) Lorentz metrics and generalizations
53.80 (1959-1972) Hermitian and Kählerian structures [See also 32.00, 57.60]
53.85 (1959-1972) Finsler spaces and generalizations (areal metrics)
53.90 (1959-1972) Integral geometry
53.95 (1959-1972) Direct methods ($G$-spaces of Busemann), geometric orders
53.99 (1959-1972) Other generalizations
American Mathematical Society