Glossary of Riemannian and Metric Geometry - P

P

Parallel transport

Polyhedral space a simplicial complex with a metric such that each simplex with induced metric is isometric to a simplex in Euclidean space.

Principal curvature is the maximum and minimum normal curvatures at a point on a surface.

Principal direction is the direction of the principal curvatures.

Path isometry

Proper metric space is a metric space in which every closed ball is compact. Every proper metric space is complete.