58-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)

• 58-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 58-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 58-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 58-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 58-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 58-XX Global analysis, analysis on manifolds ( 0 Dok.)
• 58A03 Topos-theoretic approach to differentiable manifolds ( 0 Dok.)
• 58A05 Differentiable manifolds, foundations ( 0 Dok.)
• 58A07 Real-analytic and Nash manifolds ( 0 Dok.)
• 58A10 Differential forms ( 0 Dok.)
• 58A12 de Rham theory ( 0 Dok.)
• 58A14 Hodge theory ( 0 Dok.)
• 58A15 Exterior differential systems (Cartan theory) ( 0 Dok.)
• 58A17 Pfaffian systems ( 0 Dok.)
• 58A20 Jets ( 0 Dok.)
• 58A25 Currents ( 0 Dok.)
• 58A30 Vector distributions (subbundles of the tangent bundles) ( 0 Dok.)
• 58A32 Natural bundles ( 0 Dok.)
• 58A35 Stratified sets ( 0 Dok.)
• 58A40 Differential spaces ( 0 Dok.)
• 58A50 Supermanifolds and graded manifolds ( 0 Dok.)
• 58A99 None of the above, but in this section ( 0 Dok.)
• 58Axx General theory of differentiable manifolds ( 0 Dok. )
• 58B05 Homotopy and topological questions ( 0 Dok.)
• 58B10 Differentiability questions ( 0 Dok.)
• 58B12 Questions of holomorphy ( 0 Dok.)
• 58B15 Fredholm structures ( 0 Dok.)
• 58B20 Riemannian, Finsler and other geometric structures ( 0 Dok.)
• 58B25 Group structures and generalizations on infinite-dimensional manifolds ( 0 Dok.)
• 58B32 Geometry of quantum groups ( 0 Dok.)
• 58B34 Noncommutative geometry (à la Connes) ( 0 Dok.)
• 58B99 None of the above, but in this section ( 0 Dok.)
• 58Bxx Infinite-dimensional manifolds ( 0 Dok. )
• 58C05 Real-valued functions ( 0 Dok.)
• 58C06 Set valued and function-space valued mappings ( 0 Dok.)
• 58C07 Continuity properties of mappings ( 0 Dok.)
• 58C10 Holomorphic maps ( 0 Dok.)
• 58C15 Implicit function theorems; global Newton methods ( 0 Dok.)
• 58C20 Differentiation theory (Gateaux, Fréchet, etc.) ( 0 Dok.)
• 58C25 Differentiable maps ( 0 Dok.)
• 58C30 Fixed point theorems on manifolds ( 0 Dok.)
• 58C35 Integration on manifolds; measures on manifolds ( 0 Dok.)
• 58C40 Spectral theory; eigenvalue problems ( 0 Dok.)
• 58C50 Analysis on supermanifolds or graded manifolds ( 0 Dok.)
• 58C99 None of the above, but in this section ( 0 Dok.)
• 58Cxx Calculus on manifolds; nonlinear operators ( 0 Dok. )
• 58D05 Groups of diffeomorphisms and homeomorphisms as manifolds ( 0 Dok.)
• 58D07 Groups and semigroups of nonlinear operators ( 0 Dok.)
• 58D10 Spaces of imbeddings and immersions ( 0 Dok.)
• 58D15 Manifolds of mappings ( 0 Dok.)
• 58D17 Manifolds of metrics (esp. Riemannian) ( 0 Dok.)
• 58D19 Group actions and symmetry properties ( 0 Dok.)
• 58D20 Measures (Gaussian, cylindrical, etc.) on manifolds of maps ( 0 Dok.)
• 58D25 Equations in function spaces; evolution equations ( 0 Dok.)
• 58D27 Moduli problems for differential geometric structures ( 0 Dok.)
• 58D29 Moduli problems for topological structures ( 0 Dok.)
• 58D30 Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.) ( 0 Dok.)
• 58D99 None of the above, but in this section ( 0 Dok.)
• 58Dxx Spaces and manifolds of mappings (including nonlinear versions of 46Exx) ( 0 Dok. )
• 58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.) ( 0 Dok.)
• 58E07 Abstract bifurcation theory ( 0 Dok.)
• 58E09 Group-invariant bifurcation theory ( 0 Dok.)
• 58E10 Applications to the theory of geodesics (problems in one independent variable) ( 0 Dok.)
• 58E11 Critical metrics ( 0 Dok.)
• 58E12 Applications to minimal surfaces (problems in two independent variables) ( 0 Dok.)
• 58E15 Application to extremal problems in several variables; Yang-Mills functionals , etc. ( 0 Dok.)
• 58E17 Pareto optimality, etc., applications to economics ( 0 Dok.)
• 58E20 Harmonic maps , etc. ( 0 Dok.)
• 58E25 Applications to control theory ( 0 Dok.)
• 58E30 Variational principles ( 0 Dok.)
• 58E35 Variational inequalities (global problems) ( 0 Dok.)
• 58E40 Group actions ( 0 Dok.)
• 58E50 Applications ( 0 Dok.)
• 58E99 None of the above, but in this section 199158F08now 37B15, 37C99, 37E99 Point-mapping properties, iterations, completeness; dynamics of cellular automata ( 0 Dok.)
• 58Exx Variational problems in infinite-dimensional spaces ( 0 Dok. )
• 58H05 Pseudogroups and differentiable groupoids ( 0 Dok.)
• 58H10 Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) ( 0 Dok.)
• 58H15 Deformations of structures ( 0 Dok.)
• 58H99 None of the above, but in this section ( 0 Dok.)
• 58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds ( 0 Dok. )
• 58J05 Elliptic equations on manifolds, general theory ( 0 Dok.)
• 58J10 Differential complexes ; elliptic complexes ( 0 Dok.)
• 58J15 Relations with hyperfunctions ( 0 Dok.)
• 58J20 Index theory and related fixed point theorems ( 0 Dok.)
• 58J22 Exotic index theories ( 0 Dok.)
• 58J26 Elliptic genera ( 0 Dok.)
• 58J28 Eta-invariants, Chern-Simons invariants ( 0 Dok.)
• 58J30 Spectral flows ( 0 Dok.)
• 58J32 Boundary value problems on manifolds ( 0 Dok.)
• 58J35 Heat and other parabolic equation methods ( 0 Dok.)
• 58J37 Perturbations; asymptotics ( 0 Dok.)
• 58J40 Pseudodifferential and Fourier integral operators on manifolds ( 0 Dok.)
• 58J42 Noncommutative global analysis, noncommutative residues ( 0 Dok.)
• 58J45 Hyperbolic equations ( 0 Dok.)
• 58J47 Propagation of singularities; initial value problems ( 0 Dok.)
• 58J50 Spectral problems; spectral geometry; scattering theory ( 0 Dok.)
• 58J52 Determinants and determinant bundles, analytic torsion ( 0 Dok.)
• 58J53 Isospectrality ( 0 Dok.)
• 58J55 Bifurcation ( 0 Dok.)
• 58J60 Relations with special manifold structures (Riemannian, Finsler, etc.) ( 0 Dok.)
• 58J65 Diffusion processes and stochastic analysis on manifolds ( 0 Dok.)
• 58J70 Invariance and symmetry properties ( 0 Dok.)
• 58J72 Correspondences and other transformation methods (e.g. Lie-Bäcklund) ( 0 Dok.)
• 58J90 Applications ( 0 Dok.)
• 58J99 None of the above, but in this section ( 0 Dok.)
• 58Jxx Partial differential equations on manifolds; differential operators ( 0 Dok. )
• 58K05 Critical points of functions and mappings ( 0 Dok.)
• 58K10 Monodromy ( 0 Dok.)
• 58K15 Topological properties of mappings ( 0 Dok.)
• 58K20 Algebraic and analytic properties of mappings ( 0 Dok.)
• 58K25 Stability ( 0 Dok.)
• 58K30 Global theory ( 0 Dok.)
• 58K35 Catastrophe theory ( 0 Dok.)
• 58K40 Classification; finite determinacy of map germs ( 0 Dok.)
• 58K45 Singularities of vector fields, topological aspects ( 0 Dok.)
• 58K50 Normal forms ( 0 Dok.)
• 58K55 Asymptotic behavior ( 0 Dok.)
• 58K60 Deformation of singularities ( 0 Dok.)
• 58K65 Topological invariants ( 0 Dok.)
• 58K70 Symmetries, equivariance ( 0 Dok.)
• 58K99 None of the above, but in this section ( 0 Dok.)
• 58Kxx Theory of singularities and catastrophe theory ( 0 Dok. )
• 58Z05 Applications to physics ( 0 Dok.)

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Letzte Änderung: 14.07.10