Abstract
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.
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Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 39, No. 3, pp. 28–36, 2005
Original Russian Text Copyright #x00A9; by A. A. Klyachin and V. M. Miklyukov
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Klyachin, A.A., Miklyukov, V.M. Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions. Funct Anal Its Appl 39, 187–193 (2005). https://doi.org/10.1007/s10688-005-0037-1
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DOI: https://doi.org/10.1007/s10688-005-0037-1