6 citations · 25 across the 9 of their papers we have counts for
10 papers
Scalar relative differential invariants
Boris Kruglikov, Eivind Schneider
Computation of polynomial relative invariants is a classical tool in algebra. Relative differential invariants are central for the equivalence problem of geometric structures. We a…
Recurrent Lorentzian Weyl spaces
Andrei Dikarev, Anton S. Galaev, Eivind Schneider
We find the local form of all non-closed Lorentzian Weyl manifolds with recurrent curvature tensor.If the dimension of the manifold is greater than 3, then the confo…
ODEs whose symmetry groups are not fiber-preserving
Boris Kruglikov, Eivind Schneider
We observe that, up to conjugation, a majority of symmetric higher order ODEs (ordinary differential equations) and ODE systems have only fiber-preserving point symmetries. By expl…
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…
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…