| 53C05 |
- |
Connections, general theory |
| 53C07 |
- |
Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) |
| 53C10 |
- |
$G$-structures |
| 53C12 |
- |
Foliations (differential geometric aspects) |
| 53C15 |
- |
General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 53C17 |
- |
Sub-Riemannian geometry |
| 53C20 |
- |
Global Riemannian geometry, including pinching |
| 53C21 |
- |
Methods of Riemannian geometry, including PDE methods; curvature restrictions |
| 53C22 |
- |
Geodesics |
| 53C23 |
- |
Global topological methods (à la Gromov) |
| 53C24 |
- |
Rigidity results |
| 53C25 |
- |
Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 53C26 |
- |
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry |
| 53C27 |
- |
Spin and Spin$^c$ geometry |
| 53C28 |
- |
Twistor methods |
| 53C29 |
- |
Issues of holonomy |
| 53C30 |
- |
Homogeneous manifolds |
| 53C35 |
- |
Symmetric spaces |
| 53C38 |
- |
Calibrations and calibrated geometries |
| 53C40 |
- |
Global submanifolds |
| 53C42 |
- |
Immersions (minimal, prescribed curvature, tight, etc.) |
| 53C43 |
- |
Differential geometric aspects of harmonic maps |
| 53C44 |
- |
Geometric evolution equations (mean curvature flow) |
| 53C45 |
- |
Global surface theory (convex surfaces à la A. D. Aleksandrov) |
| 53C50 |
- |
Lorentz manifolds, manifolds with indefinite metrics |
| 53C55 |
- |
Hermitian and Kählerian manifolds |
| 53C56 |
- |
Other complex differential geometry |
| 53C60 |
- |
Finsler spaces and generalizations (areal metrics) |
| 53C65 |
- |
Integral geometry ; differential forms, currents, etc. |
| 53C70 |
- |
Direct methods ($G$-spaces of Busemann, etc.) |
| 53C75 |
- |
Geometric orders, order geometry |
| 53C80 |
- |
Applications to physics |
| 53C99 |
- |
Miscellaneous |
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