Cut locus (Riemannian manifold)

（重定向自Cut locus）

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.

单词	Cut locus
释义	Cut locus 英语百科 Cut locus (Riemannian manifold) （重定向自Cut locus） 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.
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