53C43 Differential geometric aspects of harmonic maps [See also <a href="#code:58E20">58E20</a>]

53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov)

53C50 Lorentz manifolds, manifolds with indefinite metrics

53C55 Hermitian and Kählerian manifolds [See also <a href="#code:32Cxx">32Cxx</a>]

53C56 Other complex differential geometry [See also <a href="#code:32Cxx">32Cxx</a>]

53C60 Finsler spaces and generalizations (areal metrics) [See also <a href="#code:58B20">58B20</a>]

53C65 Integral geometry [See also <a href="#code:52A22">52A22</a>, <a href="#code:60D05">60D05</a>]; differential forms, currents, etc. [See mainly <a href="#code:58Axx">58Axx</a>]

53C70 Direct methods ($G$-spaces of Busemann, etc.)

53C75 Geometric orders, order geometry [See also <a href="#code:51Lxx">51Lxx</a>]

53C99 None of the above, but in this section

53Dxx Symplectic geometry, contact geometry [See also <a href="#code:37Jxx">37Jxx</a>, <a href="#code:70Gxx">70Gxx</a>, <a href="#code:70Hxx">70Hxx</a>]

53D12 Lagrangian submanifolds; Maslov index

53D15 Almost contact and almost symplectic manifolds

53D17 Poisson manifolds; Poisson groupoids and algebroids

53D18  Generalized geometries (à la Hitchin)

53D20 Momentum maps; symplectic reduction

53D30 Symplectic structures of moduli spaces

53D35 Global theory of symplectic and contact manifolds [See also <a href="#code:57Rxx">57Rxx</a>]

53D37 Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category [See also <a href="#code:14J33">14J33</a>]

53D40 Floer homology and cohomology, symplectic aspects

53D42 Symplectic field theory; contact homology

53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also <a href="#code:14N35">14N35</a>]

53D55 Deformation quantization, star products

53D99 None of the above, but in this section

53Z99 None of the above, but in this section

54-XX General topology {For the topology of manifolds of all dimensions, see <a href="#code:57Nxx">57Nxx</a>}