Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Full text
Author(s):
Cintra, Adriana A. [1] ; Mercuri, Francesco [2] ; Onnis, Irene I. [2, 1, 3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Review article
Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 121, p. 396-412, NOV 2017.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 15/00692-5 - Biharmonic surfaces in three-dimensional Riemannian manifolds
Grantee:Irene Ignazia Onnis
Support Opportunities: Regular Research Grants