24 citations · 25 across the 3 of their papers we have counts for
3 papers
math.DG2009★ 24 cited
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations
Ioan Bucataru, Matias F. Dahl
We use Frölicher-Nijenhuis theory to obtain global Helmholtz conditions, expressed in terms of a semi-basic 1-form, that characterize when a semispray is locally Lagrangian. We als…
math.SG2008★ 1 cited
Electromagnetic fields from contact forms
Matias F. Dahl
In this short note we prove that every contact form on a 3-manifold M induces a solution to Maxwell's equations on M.
math.AP2007
Focusing waves in unknown media by modified time reversal iteration
Matias Dahl, Anna Kirpichnikova, Matti Lassas
We study the wave equation in a bounded domain or on a compact Riemannian manifold with boundary. Assume that we are given the hyperbolic Neumann-to-Dirichlet map on the boundary c…