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]

**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

**53.70**(1959-1972) Local Riemannian geometry

**53.72**(1959-1972) Riemannian manifolds

**53.75**(1959-1972) Global surface theory (convex surfaces)

**53.78**(1959-1972) Lorentz metrics and generalizations

**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