| 58-XX |
|
|
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx} For geometric integration theory, see 49Q15] |
| 58-XX |
|
|
Global analysis, analysis on manifolds [See also \FullScheme49Q15] |
|
58Jxx |
|
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]; elliptic complexes |
|
|
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] |
|
|
58J51 |
Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity |
|
|
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 |
