Maximal tubes and bands in Minkowski space
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 427-453

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Spacelike surfaces of zero mean curvature in Minkowski space are considered, and finite time conditions for the existence of tubes and bands of codimension 1 are given. For two-dimensional bands of arbitrary codimension, the bounds of admissible rate of exit to a hypersurface are indicated, and some information on the number of branchings is presented. A distinctive feature of the work is the use in estimates, as a basic characteristic of a surface, of the local time flow through sections of a tube or a band.
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     author = {V. M. Miklyukov},
     title = {Maximal tubes and bands in {Minkowski} space},
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V. M. Miklyukov. Maximal tubes and bands in Minkowski space. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 427-453. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a10/