Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 112218

## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 949

Research exposition (monographs, survey articles) 1837

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

Differential invariants (local theory), geometric objects 1258

Finsler spaces and generalizations (areal metrics) 3392

Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] 1704

General geometric structures on manifolds (almost complex, almost product structures, etc.) 8100

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 1435

Special Riemannian manifolds (Einstein, Sasakian, etc.) 6226

Geometric evolution equations (mean curvature flow, Ricci flow, etc.) 2707

Global surface theory (convex surfaces à la A. D. Aleksandrov) 1131

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2212

Direct methods ($G$-spaces of Busemann, etc.) 343

Generalized geometries (à la Hitchin) 138