Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 112426

## Mathematics Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 35

Instructional exposition (textbooks, tutorial papers, etc.) 954

Research exposition (monographs, survey articles) 1840

Explicit machine computation and programs (not the theory of computation or programming) 170

Differential invariants (local theory), geometric objects 1260

Finsler spaces and generalizations (areal metrics) 3398

Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] 1708

General geometric structures on manifolds (almost complex, almost product structures, etc.) 8113

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 1448

Special Riemannian manifolds (Einstein, Sasakian, etc.) 6240

Geometric evolution equations (mean curvature flow, Ricci flow, etc.) 2730

Global surface theory (convex surfaces à la A. D. Aleksandrov) 1133

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2214

Direct methods ($G$-spaces of Busemann, etc.) 344

Generalized geometries (à la Hitchin) 139