Geodesic circle

This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "Geodesic circle" – news · newspapers · books · scholar · JSTOR (May 2024)

A geodesic circle is either "the locus on a surface at a constant geodesic distance from a fixed point" or a curve of constant geodesic curvature.^[1] A geodesic disk is the region on a surface bounded by a geodesic circle. In contrast with the ordinary circle and disk, the geodesic circle is not necessarily a plane curve and the geodesic disk is not necessarily a planar surface. They can be used to define Gaussian curvature.

This Riemannian geometry-related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e