Search and Browse the MSC 2000

53-XX Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} → ZMATH

53Cxx Global differential geometry [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx] → ZMATH

53C05 Connections, general theory → ZMATH

53C07 Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] → ZMATH

53C10 $G$-structures → ZMATH

53C12 Foliations (differential geometric aspects) [See also 57R30, 57R32] → ZMATH

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) → ZMATH

53C17 Sub-Riemannian geometry → ZMATH

53C20 Global Riemannian geometry, including pinching [See also 31C12, 58B20] → ZMATH

53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] → ZMATH

53C22 Geodesics [See also 58E10] → ZMATH

53C23 Global topological methods (à la Gromov) → ZMATH

53C24 Rigidity results → ZMATH

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) → ZMATH

53C26 Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry → ZMATH

53C27 Spin and Spin$^c$ geometry → ZMATH

53C28 Twistor methods [See also 32L25] → ZMATH

53C29 Issues of holonomy → ZMATH

53C30 Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15] → ZMATH

53C35 Symmetric spaces [See also 32M15, 57T15] → ZMATH

53C38 Calibrations and calibrated geometries → ZMATH

53C40 Global submanifolds [See also 53B25] → ZMATH

53C42 Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] → ZMATH

53C43 Differential geometric aspects of harmonic maps [See also 58E20] → ZMATH

53C44 Geometric evolution equations (mean curvature flow) → ZMATH

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

53C50 Lorentz manifolds, manifolds with indefinite metrics → ZMATH

53C55 Hermitian and Kählerian manifolds [See also 32Cxx] → ZMATH

53C56 Other complex differential geometry [See also 32Cxx] → ZMATH

53C60 Finsler spaces and generalizations (areal metrics) [See also 58B20] → ZMATH

53C65 Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] → ZMATH

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

53C75 Geometric orders, order geometry [See also 51Lxx] → ZMATH

53C80 Applications to physics → ZMATH

53C99 None of the above, but in this section → ZMATH