|
|
Biblioteca Dr. Antonio Monteiro · Catálogo |
| 58 | Global analysis, analysis on manifolds | ||
| 58-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 58-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 58-02 | Research exposition (monographs, survey articles) | ||
| 58-03 | Historical | ||
| 58-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 58-06 | Proceedings, conferences, collections, etc. | ||
| 58-99 | Global analysis, analysis on manifolds (not classified at a more specific level) | ||
| 58A | General theory of differentiable manifolds [See also 32Cxx] | ||
| 58A03 | Topos-theoretic approach to differentiable manifolds | ||
| 58A05 | Differentiable manifolds, foundations | ||
| 58A07 | Real-analytic and Nash manifolds [See also 14P20, 32C07] | ||
| 58A10 | Differential forms | ||
| 58A12 | de Rham theory [See also 14Fxx] | ||
| 58A14 | Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35] | ||
| 58A15 | Exterior differential systems (Cartan theory) | ||
| 58A17 | Pfaffian systems | ||
| 58A20 | Jets | ||
| 58A25 | Currents [See also 32C30, 53C65] | ||
| 58A30 | Vector distributions (subbundles of the tangent bundles) | ||
| 58A32 | Natural bundles | ||
| 58A35 | Stratified sets [See also 32S60] | ||
| 58A40 | Differential spaces | ||
| 58A50 | Supermanifolds and graded manifolds [See also 14A22, 32C11] | ||
| 58A99 | None of the above, but in this section | ||
| 58B | Infinite-dimensional manifolds | ||
| 58B05 | Homotopy and topological questions | ||
| 58B10 | Differentiability questions | ||
| 58B12 | Questions of holomorphy [See also 32-XX, 46G20] | ||
| 58B15 | Fredholm structures [See also 47A53] | ||
| 58B20 | Riemannian, Finsler and other geometric structures [See also 53C20, 53C60] | ||
| 58B25 | Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05] | ||
| 58B32 | Geometry of quantum groups | ||
| 58B34 | Noncommutative geometry (à la Connes) | ||
| 58B99 | None of the above, but in this section | ||
| 58C | Calculus on manifolds; nonlinear operators [See also 46Txx, 47Hxx, 47Jxx] | ||
| 58C05 | Real-valued functions | ||
| 58C06 | Set valued and function-space valued mappings [See also 47H04, 54C60] | ||
| 58C07 | Continuity properties of mappings | ||
| 58C10 | Holomorphic maps [See also 32-XX] | ||
| 58C15 | Implicit function theorems; global Newton methods | ||
| 58C20 | Differentiation theory (Gateaux, Fréchet, etc.) [See also 26Exx, 46G05] | ||
| 58C25 | Differentiable maps | ||
| 58C30 | Fixed point theorems on manifolds [See also 47H10] | ||
| 58C35 | Integration on manifolds; measures on manifolds [See also 28Cxx] | ||
| 58C40 | Spectral theory; eigenvalue problems [See also 47J10, 58E07] | ||
| 58C50 | Analysis on supermanifolds or graded manifolds | ||
| 58C99 | None of the above, but in this section | ||
| 58D | Spaces and manifolds of mappings (including nonlinear versions of 46Exx) [See also 46Txx, 53Cxx] | ||
| 58D05 | Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05] | ||
| 58D07 | Groups and semigroups of nonlinear operators [See also 17B65, 47H20] | ||
| 58D10 | Spaces of imbeddings and immersions | ||
| 58D15 | Manifolds of mappings [See also 46T10, 54C35] | ||
| 58D17 | Manifolds of metrics (esp. Riemannian) | ||
| 58D19 | Group actions and symmetry properties | ||
| 58D20 | Measures (Gaussian, cylindrical, etc.) on manifolds of maps [See also 28Cxx, 46T12] | ||
| 58D25 | Equations in function spaces; evolution equations [See also 34Gxx, 35K90, 35L90, 35R15, 37Lxx, 47Jxx] | ||
| 58D27 | Moduli problems for differential geometric structures | ||
| 58D29 | Moduli problems for topological structures | ||
| 58D30 | Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.) | ||
| 58D99 | None of the above, but in this section | ||
| 58E | Variational problems in infinite-dimensional spaces | ||
| 58E05 | Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.) | ||
| 58E07 | Abstract bifurcation theory | ||
| 58E09 | Group-invariant bifurcation theory | ||
| 58E10 | Applications to the theory of geodesics (problems in one independent variable) | ||
| 58E11 | Critical metrics | ||
| 58E12 | Applications to minimal surfaces (problems in two independent variables) [See also 49Q05] | ||
| 58E15 | Application to extremal problems in several variables; Yang-Mills functionals [See also 81T13] | ||
| 58E17 | Pareto optimality, etc., applications to economics [See also 90C29] | ||
| 58E20 | Harmonic maps [See also 53C43] | ||
| 58E25 | Applications to control theory [See also 49-XX, 93-XX] | ||
| 58E30 | Variational principles | ||
| 58E35 | Variational inequalities (global problems) | ||
| 58E40 | Group actions | ||
| 58E50 | Applications | ||
| 58E99 | None of the above, but in this section | ||
| 58H | Pseudogroups, differentiable groupoids and general structures on manifolds | ||
| 58H05 | Pseudogroups and differentiable groupoids [See also 22A22, 22E65] | ||
| 58H10 | Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) [See also 57R32] | ||
| 58H15 | Deformations of structures [See also 32Gxx, 58J10] | ||
| 58H99 | None of the above, but in this section | ||
| 58J | Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] | ||
| 58J05 | Elliptic equations on manifolds, general theory [See also 35-XX] | ||
| 58J10 | Differential complexes [See also 35Nxx] | ||
| 58J15 | Relations with hyperfunctions | ||
| 58J20 | Index theory and related fixed point theorems [See also 19K56, 46L80] | ||
| 58J22 | Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] | ||
| 58J26 | Elliptic genera | ||
| 58J28 | Eta-invariants, Chern-Simons invariants | ||
| 58J30 | Spectral flows | ||
| 58J32 | Boundary value problems on manifolds | ||
| 58J35 | Heat and other parabolic equation methods | ||
| 58J37 | Perturbations; asymptotics | ||
| 58J40 | Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] | ||
| 58J42 | Noncommutative global analysis, noncommutative residues | ||
| 58J45 | Hyperbolic equations [See also 35Lxx] | ||
| 58J47 | Propagation of singularities; initial value problems | ||
| 58J50 | Spectral problems; spectral geometry; scattering theory [See also 35Pxx] | ||
| 58J52 | Determinants and determinant bundles, analytic torsion | ||
| 58J53 | Isospectrality | ||
| 58J55 | Bifurcation [See also 35B32] | ||
| 58J60 | Relations with special manifold structures (Riemannian, Finsler, etc.) | ||
| 58J65 | Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60] | ||
| 58J70 | Invariance and symmetry properties [See also 35A30] | ||
| 58J72 | Correspondences and other transformation methods (e.g. Lie-Bäcklund) [See also 35A22] | ||
| 58J90 | Applications | ||
| 58J99 | None of the above, but in this section | ||
| 58K | Theory of singularities and catastrophe theory [See also 32Sxx, 37-XX] | ||
| 58K05 | Critical points of functions and mappings | ||
| 58K10 | Monodromy | ||
| 58K15 | Topological properties of mappings | ||
| 58K20 | Algebraic and analytic properties of mappings | ||
| 58K25 | Stability | ||
| 58K30 | Global theory | ||
| 58K35 | Catastrophe theory | ||
| 58K40 | Classification; finite determinacy of map germs | ||
| 58K45 | Singularities of vector fields, topological aspects | ||
| 58K50 | Normal forms | ||
| 58K55 | Asymptotic behavior | ||
| 58K60 | Deformation of singularities | ||
| 58K65 | Topological invariants | ||
| 58K70 | Symmetries, equivariance | ||
| 58K99 | None of the above, but in this section | ||
| 58Z05 | Applications to physics | ||
Si necesita ayuda para encontrar información, puede visitar personalmente la biblioteca, llamarnos por teléfono al 291 459 5116, o enviarnos un mensaje a bibima@criba.edu.ar.
Para solicitar copias de artículos, complete el formulario o escríbanos a pedidos.inmabb@gmail.com