58Gxx Partial differential equations on manifolds; differential

58G03  Elliptic equations on manifolds, general theory
58G05  Differential complexes, See also {35Nxx}; elliptic
               complexes
58G07  Relations with hyperfunctions
58G10  Index theory and related fixed point theorems, See Also {
               19K56, 46L80}
58G11  Heat and other parabolic equation methods
58G12  Exotic index theories, See also {19K56, 46L05, 46L10,
               46L80, 46M20}
58G15  Pseudodifferential and Fourier integral operators on
               manifolds, See also {35Sxx}
58G16  Hyperbolic equations
58G17  Propagation of singularities; initial value problems
58G18  Perturbations; asymptotics
58G20  Boundary value problems on manifolds
58G25  Spectral problems; spectral geometry; scattering theory,
               See also {35Pxx}
58G26  Determinants and determinant bundles
58G28  Bifurcations, See also {35B32}
58G30  Relations with special manifold structures (Riemannian,
               Finsler, etc.)
58G32  Diffusion processes and stochastic analysis on manifolds
58G35  Invariance and symmetry properties, See also {35A30}
58G37  Correspondences and other transformation methods (e.g.
               Lie-Backlund), See also {35A22}
58G40  Applications
58G99  None of the above but in this section