4 papers
Semi-simple Lie algebras are determined by their Iwasawa subalgebras
Jonathan Epstein, Michael Jablonski
Using tools from the geometry of Einstein solvmanifolds, we give a geometric argument that a semi-simple Lie algebra (of non-compact type) is completely determined by its Iwasawa s…
Periodic Magnetic Geodesics on Heisenberg Manifolds
Jonathan Epstein, Ruth Gornet, Maura B. Mast
We study the dynamics of magnetic flows on Heisenberg groups. Let denote the three-dimensional simply connected Heisenberg Lie group endowed with a left-invariant Riemannian me…
Morse theory for the uniform energy
Ian Adelstein, Jonathan Epstein
In this paper we develop a Morse theory for the uniform energy. We use the one-sided directional derivative of the distance function to study the minimizing properties of variation…
Topological Entropy of Left-Invariant Magnetic Flows on 2-Step Nilmanifolds
Jonathan Epstein
We consider magnetic flows on 2-step nilmanifolds , where the Riemannian metric and the magnetic field are left-invariant. Our first result is that when…