Zentralblatt MATH

72 General topology53C21 Methods of Riemannian geometry, includingPDE methods; curvature restrictions[See also 58J60]53C22 Geodesics [See also 58E10]53C23 Global geometric and topological methods(à la Gromov); differential geometricanalysis on metric spaces53C24 Rigidity results53C25 Special Riemannian manifolds(Einstein, Sasakian, etc.)53C26 Hyper-Kähler and quaternionic Kählergeometry, “special” geometry53C27 Spin and Spin c geometry53C28 Twistor methods [See also 32L25]53C29 Issues of holonomy53C30 Homogeneous manifolds[See also 14M15, 14M17, 32M10, 57T15]53C35 Symmetric spaces[See also 32M15, 57T15]53C38 Calibrations and calibrated geometries53C40 Global submanifolds [See also 53B25]53C42 Immersions (minimal, prescribed curvature,tight, etc.) [See also 49Q05, 49Q10,53A10, 57R40, 57R42]53C43 Differential geometric aspects of harmonicmaps [See also 58E20]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 indefinitemetrics53C55 Hermitian and Kählerian manifolds[See also 32Cxx]53C56 Other complex differential geometry[See also 32Cxx]53C60 Finsler spaces and generalizations(areal metrics) [See also 58B20]53C65 Integral geometry [See also 52A22,60D05]; differential forms, currents, etc.[See mainly 58Axx]53C70 Direct methods(G-spaces of Busemann, etc.)53C75 Geometric orders, order geometry[See also 51Lxx]53C80 Applications to physics53C99 None of the above, but in this section53Dxx Symplectic geometry, contact geometry[See also 37Jxx, 70Gxx, 70Hxx]53D05 Symplectic manifolds, general53D10 Contact manifolds, general53D12 Lagrangian submanifolds; Maslov index53D15 Almost contact and almost symplecticmanifolds53D17 Poisson manifolds; Poisson groupoidsand algebroids53D18 Generalized geometries (à la Hitchin)53D20 Momentum maps; symplectic reduction53D22 Canonical transformations53D25 Geodesic flows53D30 Symplectic structures of moduli spaces53D35 Global theory of symplectic and contactmanifolds [See also 57Rxx]53D37 Mirror symmetry, symplectic aspects;homological mirror symmetry; Fukayacategory [See also 14J33]53D40 Floer homology and cohomology, symplecticaspects53D42 Symplectic field theory; contact homology53D45 Gromov-Witten invariants, quantum cohomology,Frobenius manifolds[See also 14N35]53D50 Geometric quantization53D55 Deformation quantization, star products53D99 None of the above, but in this section53Zxx Applications to physics53Z05 Applications to physics53Z99 None of the above, but in this section54-XX General topology(For the topology of manifolds ofall dimensions, see 57Nxx)54-00 General reference works (handbooks,dictionaries, bibliographies, etc.)54-01 Instructional exposition(textbooks, tutorial papers, etc.)54-02 Research exposition (monographs,survey articles)54-03 Historical (must also be assigned at leastone classification number from Section01)