Geodesic
Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 3, pp. 28-36

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The existence and uniqueness theorem for isotropic hypersurfaces with prescribed boundary in Lorentzian warped products is proved. The proof is based on minimal Lipschitz extensions of functions.
Mots-clés : Lorentzian space
Keywords: isotropic surface, Lipschitz function, minimal extension of a Lipschitz function. 
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     author = {A. A. Klyachin and V. M. Miklyukov},
     title = {Isotropic {Hypersurfaces} and {Minimal} {Extensions} of {Lipschitz} {Functions}},
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A. A. Klyachin; V. M. Miklyukov. Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 3, pp. 28-36. http://geodesic.mathdoc.fr/item/FAA_2005_39_3_a2/