Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space

Texto completo
Autor(es):	Cintra, Adriana A. ^[1] ; Onnis, Irene I. ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[1] UFG, Dept Matemat, CP 03, BR-75801615 Jatai, Go - Brazil ^[2] Univ Sao Paulo, ICMC, Dept Matemat, CP 668, BR-13560970 Sao Carlos, SP - Brazil Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	Annali di Matematica Pura ed Applicata; v. 197, n. 1, p. 21-39, FEB 2018.
Citações Web of Science:	0
Resumo
In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz-Minkowski space , using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in constructed via the Enneper representation formula that it is equivalent to the Weierstrass representation obtained by Kobayashi (for spacelike immersions) and by Konderak (for the timelike ones). (AU)

Processo FAPESP:	15/00692-5 - Superfícies bi-harmônicas de variedades Riemanniana tridimensionais
Beneficiário:	Irene Ignazia Onnis
Modalidade de apoio:	Auxílio à Pesquisa - Regular