3 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
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 Martínez 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 introduce the notion of a relative algebroid to address existence and classification problems for geometric structures governed by partial differential equations. This framework…
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. W…
Integrability of Poisson brackets
Marius Crainic, Rui Loja Fernandes
We show that various notions of integrability for Poisson brackets are all equivalent, and we give the precise obstructions to integrating Poisson manifolds. We describe the integr…