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What (who) is cut locus - definition
Cut locus
MATHEMATICAL STRUCTURE
The cut locus is a mathematical structure defined for a closed set S in a space X as the closure of the set of all points p\in X that have two or more distinct shortest paths in X from S to p.
Cut locus (Riemannian manifold)
In Riemannian geometry, the cut locus of a point p in a manifold is roughly the set of all other points for which there are multiple minimizing geodesics connecting them from p, but it may contain additional points where the minimizing geodesic is unique, under certain circumstances. The distance function from p is a smooth function except at the point p itself and the cut locus.
Locus (mathematics)
SET OF POINTS WHOSE LOCATION SATISFIES OR IS DETERMINED BY ONE OR MORE SPECIFIED CONDITIONS
Locus of points; Locus (geometry); Zero locus; Singular locus; Vanishing locus; Zero loci; Vanishing loci; Singular loci; Loci (mathematics)
In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions...
