1 citations · 1 across the 5 of their papers we have counts for
6 papers
Jacobi Hamiltonian Integrators
Adérito Araújo, Gonçalo Inocêncio Oliveira, João Nuno Mestre
We develop a method of constructing structure-preserving integrators for Hamiltonian systems in Jacobi manifolds. Hamiltonian mechanics, rooted in symplectic and Poisson geometry,…
Einstein metrics from the Calabi ansatz via Derdziński duality
Gonçalo Oliveira, Rosa Sena-Dias
Drawing on results of Derdziński's from the 80's, we classify conformally Kähler, -invariant, Einstein metrics on the total space of , for all $m \in \mathbb…
On the bifurcation theory of the Ginzburg-Landau equations
Ákos Nagy, Gonçalo Oliveira
We construct nonminimal and irreducible solutions to the Ginzburg-Landau equations on closed manifolds of arbitrary dimension with trivial first real cohomology. Our method uses bi…
Nonminimal solutions to the Ginzburg-Landau equations on surfaces
Ákos Nagy, Gonçalo Oliveira
We prove the existence of novel, nonminimal and irreducible solutions to the (self-dual) Ginzburg-Landau equations on closed surfaces. To our knowledge these are the first such exa…
Minimal Lagrangian tori and action-angle coordinates
Gonçalo Oliveira, Rosa Sena-Dias
We investigate which orbits of an -dimensional torus action on a -dimensional toric Kähler manifold are minimal. In other words, we study minimal submanifolds appearing…
-Instantons from evolution equations
Andrew Clarke, Gonçalo Oliveira
In this paper we study -instantons on asymptotically conical -orbifolds (and manifolds) obtained by filling in certain squashed -Sasakian -manif…