Families of Lorentzian problems on the Heisenberg group

TL;DR

This paper investigates two families of Lorentzian problems on the Heisenberg group, analyzing their asymptotic behavior as a parameter approaches a limit, contributing to understanding geometric analysis in Lorentzian settings.

Contribution

It introduces two new families of Lorentzian problems on the Heisenberg group and studies their asymptotic behavior, expanding the theoretical framework in geometric analysis.

Findings

Characterization of asymptotic behavior of the problems

Identification of limiting geometric structures

Insights into Lorentzian geometry on the Heisenberg group

Abstract

We consider two families of Lorentzian problems on the Heisenberg group and their asymptotic behaviour as the parameter of a family tends to a limit.