Artículos de revistas
Bjorling problem for timelike surfaces in the Lorentz-Minkowski space
Fecha
2011Registro en:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.377, n.2, p.481-494, 2011
0022-247X
10.1016/j.jmaa.2010.10.076
Autor
CHAVES, R. M. B.
DUSSAN, M. P.
MAGID, M.
Institución
Resumen
We solve the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space through a split-complex representation formula obtained for this kind of surface. Our approach uses the split-complex numbers and natural split-holomorphic extensions. As applications, we show that the minimal timelike surfaces of revolution as well as minimal ruled timelike surfaces can be characterized as solutions of certain adequate Bjorling problems in the Lorentz-Minkowski space. (C) 2010 Elsevier Inc. All rights reserved.