Minimal surfaces in 4-dimensional Lorentzian Damek-Ricci spaces
Adriana A. Cintra, Francesco Mercuri, Irene I. Onnis
TL;DR
This paper develops a Weierstrass type representation for minimal surfaces in 4-dimensional Lorentzian Damek-Ricci spaces and provides examples of these surfaces.
Contribution
It introduces a novel representation method for minimal surfaces specifically in 4D Lorentzian Damek-Ricci spaces, expanding the understanding of such geometric structures.
Findings
Constructed a Weierstrass type representation for minimal surfaces.
Provided explicit examples of minimal surfaces in the space.
Extended the theory of minimal surfaces to Lorentzian Damek-Ricci spaces.
Abstract
In this paper we will construct a Weierstrass type representation for minimal surfaces in 4-dimensional Lorentzian Damek-Ricci spaces and we give some examples of such surfaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Advanced Differential Geometry Research