Timelike surfaces with constant mean curvature in Lorentz three-space
López, Rafael
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 515-532 / Harvested from Project Euclid
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A cyclic surface in the Lorentz-Minkowski three-space is one that is foliated by circles. We classify all maximal cyclic timelike surfaces in this space, obtaining different families of non-rotational maximal surfaces. When the mean curvature is a non-zero constant, we prove that if the surface is foliated by circles in parallel planes, then it must be rotational. In particular, we obtain all timelike surfaces of revolution with constant mean curvature.
Publié le : 2000-05-14
Classification:  53A10,  53A40,  53C50 
@article{1178207753,
     author = {L\'opez, Rafael},
     title = {Timelike surfaces with constant mean curvature in Lorentz three-space},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 515-532},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207753}
}

López, Rafael. Timelike surfaces with constant mean curvature in Lorentz three-space. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  515-532. http://gdmltest.u-ga.fr/item/1178207753/