Minimal surfaces in Lorentzian Heisenberg group and Damek-Ricci spaces via the Weierstrass representation

Autor(es)

Cintra, Adriana A. ^[1] ; Mercuri, Francesco ^[2] ; Onnis, Irene I. ^{[2, 1, 3]}

Afiliação do(s) autor(es)

^[1] UFG, Dept Matemat, CP 03, BR-75801615 Jatai, Go - Brazil

^[2] Univ Estadual Campinas, IMECC, Dept Matemat, CP 6065, BR-13081970 Campinas, SP - Brazil

^[3] Univ Sao Paulo, ICMC, Dept Matemat, CP 668, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo de Revisão
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 121, p. 396-412, NOV 2017.
• Citações Web of Science: 0

Resumo

In this paper we discuss a Weierstrass type representation for minimal surfaces in the 3-dimensional Heisenberg group and in the 4-dimensional Damek-Ricci spaces, endowed with left invariant Riemannian or Lorentzian metrics. For the case of spacelike surfaces we employ the complex analysis, and for timelike surfaces our approach makes use of the paracomplex analysis. Then, we exhibit various examples of spacelike and timelike minimal surfaces in these spaces. (C) 2017 Elsevier B.V. All rights reserved. (AU)

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