Geodesic
Stability of the Cut Locus in Dimensions Less Than or Equal to 6.
Inventiones mathematicae, Tome 43 (1977), pp. 199-232.

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@article{IM_1977__43_142514,
     author = {Michael A. Buchner},
     title = {Stability of the {Cut} {Locus} in {Dimensions} {Less} {Than} or {Equal} to 6.},
     journal = {Inventiones mathematicae},
     pages = {199--232},
     publisher = {mathdoc},
     volume = {43},
     year = {1977},
     zbl = {0365.58010},
     url = {http://geodesic.mathdoc.fr/item/IM_1977__43_142514/}
}
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Michael A. Buchner. Stability of the Cut Locus in Dimensions Less Than or Equal to 6.. Inventiones mathematicae, Tome 43 (1977), pp. 199-232. http://geodesic.mathdoc.fr/item/IM_1977__43_142514/