Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 113102

## Mathematics Subject Classification – MSC2010

Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] 1714

General geometric structures on manifolds (almost complex, almost product structures, etc.) 8155

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 1466

Special Riemannian manifolds (Einstein, Sasakian, etc.) 6315

Geometric evolution equations (mean curvature flow, Ricci flow, etc.) 2773

Global surface theory (convex surfaces à la A. D. Aleksandrov) 1137

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2222

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