Geodesic
Reduction in the model of a relativistic string for arbitrary dimension of Minkowski space
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 2, pp. 209-219

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It is shown that the equations describing the dynamics of a classical relativistic string in $d$-dimensional space-time reduce to a system of $d-2$ nonlinear partial differential equations. These equations determine an embedding of a two-dimensional minimal surface in $d$-dimensional pseudo-Euclidean space. Two gauges used in string theory are considered: the timelike gauge and the relativistically invariant gauge. 
@article{TMF_1984_59_2_a3,
     author = {B. M. Barbashov and V. V. Nesterenko and A. M. Chervyakov},
     title = {Reduction in the model of a relativistic string for arbitrary dimension of {Minkowski} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {209--219},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a3/}
}
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B. M. Barbashov; V. V. Nesterenko; A. M. Chervyakov. Reduction in the model of a relativistic string for arbitrary dimension of Minkowski space. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 2, pp. 209-219. http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a3/