Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 100860

## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 28

Instructional exposition (textbooks, tutorial papers, etc.) 847

Research exposition (monographs, survey articles) 1646

Explicit machine computation and programs (not the theory of computation or programming) 167

Differential invariants (local theory), geometric objects 1161

Finsler spaces and generalizations (areal metrics) 3112

Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] 1546

General geometric structures on manifolds (almost complex, almost product structures, etc.) 7406

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 1147

Special Riemannian manifolds (Einstein, Sasakian, etc.) 5341

Geometric evolution equations (mean curvature flow, Ricci flow, etc.) 2025

Global surface theory (convex surfaces à la A. D. Aleksandrov) 1073

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2050

Direct methods ($G$-spaces of Busemann, etc.) 321

Generalized geometries (à la Hitchin) 84