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Mathematics Subject Classification 1991
53-XX Differential geometry, {For differential topology, See algebra and algebraic geometry), See also {06A08, 13F20, 13Hxx}
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53-00
General reference works (handbooks, dictionaries, bibliographies, etc.)
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53-01
Instructional exposition (textbooks, tutorial papers, etc.)
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53-02
Research exposition (monographs, survey articles)
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53-03
Historical (must be assigned at least one classification number from Section 01)
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53-04
Explicit machine computation and programs (not the theory of computation or programming)
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53-06
Proceedings, conferences, collections, etc.
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53Axx Classical differential geometry
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53A04
Curves in Euclidean space
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53A05
Surfaces in Euclidean space
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53A07
Higher-dimension and -codimension surfaces in Euclidean $n$-space
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53A10
Minimal surfaces, surfaces with prescribed mean curvature, See also {49Q05, 49Q10, 53C42}
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53A15
Affine differential geometry
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53A17
Kinematics
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53A20
Projective differential geometry
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53A25
Differential line geometry
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53A30
Conformal differential geometry
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53A35
Non-Euclidean differential geometry
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53A40
Other special differential geometries
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53A45
Vector and tensor analysis
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53A50
Spinor analysis
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53A55
Differential invariants (local theory), geometric objects
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53A60
Geometry of webs, See also {14C21, 20N05}
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53A99
None of the above but in this section
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53Bxx Local differential geometry
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53B05
Linear and affine connections
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53B10
Projective connections
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53B15
Other connections
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53B20
Local Riemannian geometry
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53B21
Methods of Riemannian geometry
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53B25
Local submanifolds, See also {53C40}
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53B30
Lorentz metrics, indefinite metrics
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53B35
Hermitian and Kahlerian structures, See also {32Cxx}
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53B40
Finsler spaces and generalizations (areal metrics)
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53B50
Applications to physics
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53B99
None of the above but in this section
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53Cxx Global differential geometry, See also {51H25, 58-XX; for related bundle theory, See 55Rxx, 57Rxx}
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53C05
Connections, general theory
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53C07
Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills), See also {32L07}
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53C10
$G$-structures
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53C12
Foliations (differential geometric aspects), See Also { 57R30, 57R32}
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53C15
General geometric structures on manifolds (almost complex, contact, symplectic, almost product structures, etc.)
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53C20
Global Riemannian geometry, including pinching, See Also { 31C12, 58B20}
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53C21
Methods of Riemannian geometry, including PDE methods; curvature restrictions, See also {58G30}
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53C22
Geodesics, See also {58E10}
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53C23
Global topological methods (a la Gromov)
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53C25
Special Riemannian manifolds (Einstein, Sasakian, etc.)
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53C30
Homogeneous manifolds, See also {14M15, 14M17, 32M10, 57T15}
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53C35
Symmetric spaces, See also {32M15, 57T15}
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53C40
Global submanifolds, See also {53B25}
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53C42
Immersions (minimal, prescribed curvature, tight, etc.), See also {49Q05, 49Q10, 53A10, 57R40, 57R42}
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53C45
Global surface theory (convex surfaces a la A. D. Aleksandrov)
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53C50
Lorentz manifolds, manifolds with indefinite metrics
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53C55
Hermitian and Kahlerian manifolds, See also {32Cxx}
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53C56
Other complex differential geometry, See also {32Cxx}
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53C60
Finsler spaces and generalizations (areal metrics), See also {58B20}
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53C65
Integral geometry, See also {52A22, 60D05}; differential forms, currents, etc. See mainly{58Axx}
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53C70
Direct methods ($G$-spaces of Busemann, etc.)
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53C75
Geometric orders, order geometry, See also {51Lxx}
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53C80
Applications to physics
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53C99
None of the above but in this section
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Letzte Änderung: 10. Nov. 2010