activity
20162021
most citedOn the space of null geodesics of a spacetime: the compact case, Engel geometry and retrievability

1 citations · 1 across the 2 of their papers we have counts for

collaborators

9 papers

math.DG2021★ 1 cited

On the space of null geodesics of a spacetime: the compact case, Engel geometry and retrievability

Adrià Marín-Salvador, Roberto Rubio

We compute the contact manifold of null geodesics of the family of spacetimes $\{(\mathbb{S}^2\times\mathbb{S}^1, g_\circ-\frac{d^2}{c^2}dt^2)\}_{d,c\in\mathbb{N}^+\text{ coprime}}…

math.AG2021

Correction to: Representation Growth and Rational Singularities of the Moduli Space of Local Systems

Avraham Aizenbud, Nir Avni, Roberto Rubio

We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local…

math.DG2021

Complex Dirac structures: invariants and local structure

Dan Aguero, Roberto Rubio

We study complex Dirac structures, that is, Dirac structures in the complexified generalized tangent bundle. These include presymplectic foliations, transverse holomorphic structur…

math.DG2020

Gauge theory for string algebroids

Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler

We introduce a moment map picture for holomorphic string algebroids where the Hamiltonian gauge action is described by means of inner automorphisms of Courant algebroids. The zero…

math.RT2019

On the Gelfand property for complex symmetric pairs

Roberto Rubio

We first prove, for pairs consisting of a simply connected complex reductive group together with a connected subgroup, the equivalence between two different notions of Gelfand pair…

math.AG2018

Holomorphic string algebroids

Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler

We introduce the category of holomorphic string algebroids, whose objects are Courant extensions of Atiyah Lie algebroids of holomorphic principal bundles, as considered by Bressle…