Miklyukov, V. M. Maximal tubes and bands in Minkowski space. (English. Russian original) Zbl 0801.53042 Russ. Acad. Sci., Sb., Math. 77, No. 2, 427-453 (1994); translation from Mat. Sb. 183, No. 12, 45-76 (1992). Summary: 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. Cited in 1 ReviewCited in 2 Documents MSC: 53C40 Global submanifolds 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) Keywords:spacelike surfaces; zero mean curvature; tubes; bands PDFBibTeX XMLCite \textit{V. M. Miklyukov}, Russ. Acad. Sci., Sb., Math. 77, No. 2, 45--76 (1992; Zbl 0801.53042); translation from Mat. Sb. 183, No. 12, 45--76 (1992) Full Text: DOI