Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 113836

## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 959

Research exposition (monographs, survey articles) 1854

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

Differential invariants (local theory), geometric objects 1273

Finsler spaces and generalizations (areal metrics) 3430

Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] 1729

General geometric structures on manifolds (almost complex, almost product structures, etc.) 8193

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 1493

Special Riemannian manifolds (Einstein, Sasakian, etc.) 6366

Geometric evolution equations (mean curvature flow, Ricci flow, etc.) 2830

Global surface theory (convex surfaces à la A. D. Aleksandrov) 1143

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2233

Direct methods ($G$-spaces of Busemann, etc.) 347

Generalized geometries (à la Hitchin) 145