Glossary of Riemannian and Metric Geometry - G

G

Geodesic is a curve which locally minimizes distance.

Geodesic flow is a flow on a tangent bundle TM of a manifold M, generated by a vector field whose trajectories are of the form where is a geodesic.

Gromov-Hausdorff convergence

Geodesic metric space is a metric space where any two points are the endpoints of a minimizing geodesic.