Homogeneous nonrelativistic geometries as coset spaces
Homogeneous nonrelativistic geometries as coset spaces
We generalize the coset procedure of homogeneous spacetimes in (pseudo-)Riemannian geometry to non-Lorentzian geometries. These are manifolds endowed with nowhere vanishing invertible vielbeins that transform under local non-Lorentzian tangent space transformations. In particular we focus on symmetry algebras that give rise to (torsional) Newton–Cartan geometries, for which we demonstrate how …