Geodesic
Level surfaces of a~function defining a~Riemann metric
Matematičeskie zametki, Tome 9 (1971) no. 6, pp. 709-711.

Voir la notice de l'article provenant de la source Math-Net.Ru

A result concerning the unique determination of a closed convex level surface of a function defining a Riemann metric, if the distance in this metric from the surface to some fixed surface is known. 
@article{MZM_1971_9_6_a11,
     author = {Yu. E. Anikonov},
     title = {Level surfaces of a~function defining {a~Riemann} metric},
     journal = {Matemati\v{c}eskie zametki},
     pages = {709--711},
     publisher = {mathdoc},
     volume = {9},
     number = {6},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a11/}
}
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Yu. E. Anikonov. Level surfaces of a~function defining a~Riemann metric. Matematičeskie zametki, Tome 9 (1971) no. 6, pp. 709-711. http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a11/