5 papers
Differential invariants of measurements, and their connection to central moments
Eivind Schneider
Due to the principle of minimal information gain, the measurement of points in an affine space determines a Legendrian submanifold of . Such Lege…
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…
Differential invariants of Kundt waves
Boris Kruglikov, David McNutt, Eivind Schneider
Kundt waves belong to the class of spacetimes which are not distinguished by their scalar curvature invariants. We address the equivalence problem for the metrics in this class via…
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 $…