Sub-Lorentzian geodesics on ${\mathrm{GL}}^{+}(2,\mathbb{C})$ with the generating space of Hermitian matrices in the Lie algebra ${\mathfrak{gl}}^{+}(2,\mathbb{C})$

Valera Berestovskii, Irina Zubareva

The Lie subgroup ${\mathrm{GL}}^{+}(2,\mathbb{C})$ of all matrices in the Lie group $\mathrm{GL}(2,\mathbb{C})$ with positive real determinant is equipped with a left-invariant sub-Lorentz…