Cut Locus (Riemannian Manifold) - Cut Locus of A Subset

Cut Locus of A Subset

One can similarly define the cut locus of a submanifold of the Riemannian manifold, in terms of its normal exponential map.

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Famous quotes containing the words cut and/or locus:

    ...there is hope for a tree, if it is cut down, that it will sprout again, and that its shoots will not cease. Though its root grows old in the earth, and its stump dies in the ground, yet at the scent of water it will bud and put forth branches like a young plant. But mortals die, and are laid low; humans expire, and where are they?
    Bible: Hebrew, Job 14:7-10.

    Seeing the locus of joy as the gate
    of a city, or as a lych-gate ...
    Denise Levertov (b. 1923)