Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]
110502

## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.)
34

Instructional exposition (textbooks, tutorial papers, etc.)
945

Research exposition (monographs, survey articles)
1812

Explicit machine computation and programs (not the theory of computation or programming)
171

Differential invariants (local theory), geometric objects
1241

Finsler spaces and generalizations (areal metrics)
3353

Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20]
1690

General geometric structures on manifolds (almost complex, almost product structures, etc.)
8021

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
1401

Special Riemannian manifolds (Einstein, Sasakian, etc.)
6107

Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
2608

Global surface theory (convex surfaces à la A. D. Aleksandrov)
1121

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx]
2190

Direct methods ($G$-spaces of Busemann, etc.)
341

Generalized geometries (à la Hitchin)
128