58H15 Deformations of structures [See also <a href="#code:32Gxx">32Gxx</a>, <a href="#code:58J10">58J10</a>]

58H99 None of the above, but in this section

58Jxx Partial differential equations on manifolds; differential operators [See also <a href="#code:32Wxx">32Wxx</a>, <a href="#code:35-XX">35-XX</a>, <a href="#code:53Cxx">53Cxx</a>]

58J05 Elliptic equations on manifolds, general theory [See also <a href="#code:35-XX">35-XX</a>]

58J10 Differential complexes [See also <a href="#code:35Nxx">35Nxx</a>]; elliptic complexes

58J20 Index theory and related fixed point theorems [See also <a href="#code:19K56">19K56</a>, <a href="#code:46L80">46L80</a>]

58J32 Boundary value problems on manifolds

58J35 Heat and other parabolic equation methods

58J40 Pseudodifferential and Fourier integral operators on manifolds [See also <a href="#code:35Sxx">35Sxx</a>]

58J42 Noncommutative global analysis, noncommutative residues

58J45 Hyperbolic equations [See also <a href="#code:35Lxx">35Lxx</a>]

58J47 Propagation of singularities; initial value problems

58J50 Spectral problems; spectral geometry; scattering theory [See also <a href="#code:35Pxx">35Pxx</a>]

58J51 Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity

58J52 Determinants and determinant bundles, analytic torsion

58J55 Bifurcation [See also <a href="#code:35B32">35B32</a>]

58J60 Relations with special manifold structures (Riemannian, Finsler, etc.)

58J65 Diffusion processes and stochastic analysis on manifolds [See also <a href="#code:35R60">35R60</a>, <a href="#code:60H10">60H10</a>, <a href="#code:60J60">60J60</a>]

58J70 Invariance and symmetry properties [See also <a href="#code:35A30">35A30</a>]

58J72 Correspondences and other transformation methods (e.g. Lie-Bäcklund) [See also <a href="#code:35A22">35A22</a>]

58J99 None of the above, but in this section

58Kxx Theory of singularities and catastrophe theory [See also <a href="#code:32Sxx">32Sxx</a>, <a href="#code:37-XX">37-XX</a>]

58K05 Critical points of functions and mappings