53Cxx Global differential geometry

53C05  Connections, general theory
53C07  Special connections and metrics on vector bundles
               (Hermite-Einstein-Yang-Mills), See also {32L07}
53C10  $G$-structures
53C12  Foliations (differential geometric aspects), See Also {
               57R30, 57R32}
53C15  General geometric structures on manifolds (almost complex,
               contact, symplectic, almost product structures, etc.)
53C20  Global Riemannian geometry, including pinching, See Also {
               31C12, 58B20}
53C21  Methods of Riemannian geometry, including PDE methods;
               curvature restrictions, See also {58G30}
53C22  Geodesics, See also {58E10}
53C23  Global topological methods (a la Gromov)
53C25  Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C30  Homogeneous manifolds, See also {14M15, 14M17, 32M10,
               57T15}
53C35  Symmetric spaces, See also {32M15, 57T15}
53C40  Global submanifolds, See also {53B25}
53C42  Immersions (minimal, prescribed curvature, tight, etc.),
               See also {49Q05, 49Q10, 53A10, 57R40, 57R42}
53C45  Global surface theory (convex surfaces a la A. D.
               Aleksandrov)
53C50  Lorentz manifolds, manifolds with indefinite metrics
53C55  Hermitian and Kahlerian 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 physics
53C99  None of the above but in this section