In this paper we discuss a Weierstrass type representation for minimal surfaces in the3-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.
Minimal surfaces in Lorentzian Heisenberg group and Damek–Ricci spaces via the Weierstrass representation
MERCURI, FRANCESCO;ONNIS, IRENE IGNAZIA
2017-01-01
Abstract
In this paper we discuss a Weierstrass type representation for minimal surfaces in the3-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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
damek-ricci.pdf
Solo gestori archivio
Tipologia:
versione editoriale (VoR)
Dimensione
491.9 kB
Formato
Adobe PDF
|
491.9 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
