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math.DG2026
Local decomposition and linearization of Loday brackets
Hudson Lima
We study local splitting-type results for general Loday algebroids and use them to obtain a direct proof of the splitting theorem for Courant algebroids. We also discuss the linear…
math.DG2018★ 11 cited
Deformation spaces and normal forms around transversals
Francis Bischoff, Henrique Bursztyn, Hudson Lima +1
Given a manifold M with a submanifold N, the deformation space D(M,N) is a manifold with a submersion to R whose zero fiber is the normal bundle, and all other fibers are equal to…
math.DG2016
Splitting theorems for Poisson and related structures
Henrique Bursztyn, Hudson Lima, Eckhard Meinrenken
According to the Weinstein splitting theorem, any Poisson manifold is locally, near any given point, a product of a symplectic manifold with another Poisson manifold whose Poisson…