naa a22 4500 510783023 CHVBK 20180411083253.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s11856-012-0169-y doi (NATIONALLICENCE)springer-10.1007/s11856-012-0169-y Timelike surfaces with zero mean curvature in Minkowski 4-space [Elektronische Daten] [Georgi Ganchev, Velichka Milousheva] On any timelike surface with zero mean curvature in the four-dimensional Minkowski space we introduce special geometric (canonical) parameters and prove that the Gauss curvature and the normal curvature of the surface satisfy a system of two natural partial differential equations. Conversely, any two solutions to this system determine a unique (up to a motion) timelike surface with zero mean curvature so that the given parameters are canonical. We find all timelike surfaces with zero mean curvature in the class of rotational surfaces of Moore type. These examples give rise to a one-parameter family of solutions to the system of natural partial differential equations describing timelike surfaces with zero mean curvature. Hebrew University Magnes Press, 2013 Ganchev Georgi Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Acad. G. Bonchev Str. bl. 8, 1113, Sofia, Bulgaria aut Milousheva Velichka Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Acad. G. Bonchev Str. bl. 8, 1113, Sofia, Bulgaria aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 413-433 0021-2172 196:1<413 2013 196 11856 https://doi.org/10.1007/s11856-012-0169-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0169-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ganchev Georgi Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Acad. G. Bonchev Str. bl. 8, 1113, Sofia, Bulgaria aut NATIONALLICENCE 700 1- Milousheva Velichka Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Acad. G. Bonchev Str. bl. 8, 1113, Sofia, Bulgaria aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 413-433 0021-2172 196:1<413 2013 196 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer