A. A. Klyachin, V. M. Miklyukov, “Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions”, Funktsional. Anal. i Prilozhen., 2005, Volume 39, Issue 3,Pages <nobr>28

Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions

A. A. Klyachin, V. M. Miklyukov

Volgograd State University

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.

Keywords: Lorentzian space, isotropic surface, Lipschitz function, minimal extension of a Lipschitz function.

UDC: 517.95

Received: 13.10.2003

DOI: 10.4213/faa72