Geodesic
Maximal tubular surfaces of arbitrary codimension in the Minkowski space
Izvestiya. Mathematics , Tome 43 (1994) no. 1, pp. 105-118

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A surface, given by a $C^2$-immersion $u\colon M\to R_1^{n+1}$, is said to be tubular if the cross-sections $u(M)\cap\Pi$ are compact for all hyperplanes $\Pi$ that are orthogonal to the time axis. Space-like surfaces with zero mean curvature vector are maximal. The extrinsic properties of maximal tubular surfaces are studied in this paper. In particular, it is proved that if such a surface, of dimension $p\geqslant 3$, has a singularity, then it has finite spread along the time axis. 
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     title = {Maximal tubular surfaces of arbitrary codimension in the {Minkowski} space},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1994_43_1_a5/}
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V. A. Klyachin. Maximal tubular surfaces of arbitrary codimension in the Minkowski space. Izvestiya. Mathematics , Tome 43 (1994) no. 1, pp. 105-118. http://geodesic.mathdoc.fr/item/IM2_1994_43_1_a5/