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Cut locus
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In
differential geometry
, the
cut locus
of
a
point on
a
manifold
is
a
critical
concept
, particularly in the study of Riemannian
manifolds
. The
cut locus
of
a
point \(
p
\) in
a
Riemannian
manifold
is the set of points where
geodesics
emanating from \(
p
\) cease to be minimizing
geodesics
.
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