Bishop–Gromov inequality

ID: bishop-gromov-inequality

The Bishop–Gromov inequality is a fundamental result in Riemannian geometry that provides a comparison between the volume of geodesic balls in a Riemannian manifold and the volume of balls in a model space of constant curvature, specifically spherical or Euclidean spaces. The inequality is particularly useful in the context of manifolds with bounded sectional curvature.

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