5 citations · 10 across the 13 of their papers we have counts for
17 papers
Deformed Hermitian-Yang-Mills equation on the manifold of full flags
Benoit Charbonneau, Gonçalo Oliveira, Rosa Sena-Dias
We construct the first example of a higher rank, irreducible deformed Hermitian-Yang-Mills (dHYM) connection in the small radius regime. We also construct these in the large radius…
Hermitian, Ricci-flat toric metrics on non-compact surfaces à la Biquard-Gauduchon
Gonçalo Oliveira, Rosa Sena-Dias
Biquard-Gauduchon have shown that conformally Kähler, Ricci-flat, ALF toric metrics on the complement of toric divisors are: the Taub-NUT metric with reversed orientation, in the K…
Scalar-flat Kähler metrics with varying cone angle singularities along a divisor
Gonçalo Oliveira, Rosa Sena-Dias
Using an ansatz due to LeBrun we construct complete scalar-flat Kähler metrics with a prescribed varying conical singularity along a divisor.
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…
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…
Uniqueness among scalar-flat Kähler metrics on non-compact toric -manifolds
Rosa Sena-Dias
Abreu-Sena-Dias have constructed two distinct families of scalar-flat Kähler non-compact toric metrics using Donaldson's rephrasing of Joyce's construction in action-angle coordina…