4 papers · 1 filter
Differential invariants of Kundt spacetimes
Boris Kruglikov, Eivind Schneider
We find generators for the algebra of rational differential invariants for general and degenerate Kundt spacetimes and relate this to other approaches to the equivalence problem fo…
Solutions of second-order PDEs with first-order quotients
Eivind Schneider
We describe a way of solving a partial differential equation using the differential invariants of its point symmetries. By first solving its quotient PDE, which is given by the dif…
Projectable Lie algebras of vector fields in 3D
Eivind Schneider
Starting with Lie's classification of finite-dimensional transitive Lie algebras of vector fields on we construct Lie algebras of vector fields on the bundle $\mathbb…
Differential invariants of Einstein-Weyl structures in 3D
Boris Kruglikov, Eivind Schneider
Einstein-Weyl structures on a three-dimensional manifold is given by a system of PDEs on sections of a bundle over . This system is invariant under the Lie pseudogroup $…