differential geometry

Riemannian geometry

modern geometry

curvature

curvature estimates

Ricci curvature

Ricci curvature lower bounds

principal curvature

minimal surfaces

classical curvature

53-XX - Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}

53Cxx - Global differential geometry [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx]

53C21 - Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]

53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

53C42 - Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42]

53C65 - Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx]

53C45 - Global surface theory (convex surfaces à la A. D. Aleksandrov)

49Q05 - Minimal surfaces [See also 53A10, 58E12]

49Q10 - Optimization of shapes other than minimal surfaces [See also 90C90]