differential geometry

Riemannian geometry

modern geometry

curvature

curvature estimates

Ricci curvature

Ricci curvature lower bounds

57S15 - Compact Lie groups of differentiable transformations

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.)