Grassmann geometry on the 3-dimensional non-unimodular Lie groups (Q2002618)

This is an extensive well-written article about the Grassmann geometry of surfaces when the ambient space is a 3-dimensional unimodular Lie group with left-invariant metric. These are the case of the 3-dimensional commutative Lie group, the 3-dimensional Heisenberg group, the groups of rigid motions on the Euclidean or the Minkowski planes, the special unitary group \(\mathrm{SU}(2)\), the special real linear group \(\mathrm{SL}(2,\mathbb{R})\).