Lorentzian Helicoids in Three Dimensional Heisenberg Group

Essin Turhan, Gulden Altay

Abstract

In this paper we study the minimal surface in three dimensional Heisenberg group Heis3. We use Levi-Civita connections and obtain mean curvature of Lorentzian Helicoid. We characterize the Lorentzian Helicoid and obtain the condition of being minimal surface for Lorentzian Helicoid.