Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions |
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| Authors: | A. A. Klyachin V. M. Miklyukov |
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| Affiliation: | (1) Department of Mathematics, Volgograd State University, Volgograd, Russia |
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| 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. __________ 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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| Keywords: | Lorentzian space isotropic surface Lipschitz function minimal extension of a Lipschitz function |
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