geodesic circle

geodesic circle

[¦jē·ə¦des·ik ′sər·kəl]
(mathematics)
The locus of all points on a given surface whose geodesic distance from a given point on the surface (called the center of the circle) is a given constant.
References in periodicals archive ?
A transformation of an n-dimensional Riemannian manifold M, which transforms every geodesic circle of M into a geodesic circle, is called a concircular transformation ([9], [11]).
In general, a geodesic circle (a curve whose first curvature is constant and second curvature is identically zero) does not transform into a geodesic circle by the conformal transformation
changes a geodesic circle into a geodesic circle, where [phi] is a smooth function on the manifold.