Geodesic circle

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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.{{cite journal | last=Whittemore | first=J. K. | title=A Note on Geodesic Circles | journal=The Annals of Mathematics |jstor=1967629 | volume=3 | issue=1/4 | year=1901 | pages=21–24 | issn=0003-486X | doi=10.2307/1967629 }}

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.