4 papers
Kähler metrics and toric Lagrangian fibrations
Rui Loja Fernandes, Maarten Mol
We extend the Abreu-Guillemin theory of invariant Kähler metrics from toric symplectic manifolds to any symplectic manifold admitting a toric action of a symplectic torus bundle.…
Analytic Linearization and Holomorphic Extensions of Proper Groupoids
Rui Loja Fernandes, Ning Jiang
We establish analytic linearization of s-proper analytic groupoids around invariant submanifolds. We apply this result to show that any such groupoid admits a holomorphic extension…
Poisson Manifolds of Compact Types with an Appendix by Joshua Mundinger
Marius Crainic, Rui Loja Fernandes, David MartÃnez Torres +1
We develop the theory of Poisson and Dirac manifolds of compact types, a broad generalization in Poisson and Dirac geometry of compact Lie algebras and Lie groups. We establish key…
Relative algebroids and Cartan realization problems
Rui Loja Fernandes, Wilmer Smilde
We develop a new framework of relative algebroids to address existence and classification problems of geometric structures subject to partial differential equations.