Bjorling problem for timelike surfaces in the Lorentz-Minkowski space
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2011
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| Resumo |
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. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) CAPES, Brazil State of Sao Paulo Research Foundation (FAPESP) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.377, n.2, p.481-494, 2011 0022-247X http://producao.usp.br/handle/BDPI/30681 10.1016/j.jmaa.2010.10.076 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Relação |
Journal of Mathematical Analysis and Applications |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #Timelike surfaces #Bjorling problem #Lorentz-Minkowski space #RULED SURFACES #CAUCHY-PROBLEM #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
