58 citations · 177 across the 12 of their papers we have counts for
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math.DG2014★ 58 cited
Vector bundles over Lie groupoids and algebroids
Henrique Bursztyn, Alejandro Cabrera, Matias del Hoyo
We study VB-groupoids and VB-algebroids, which are vector bundles in the realm of Lie groupoids and Lie algebroids. Through a suitable reformulation of their definitions, we elucid…
math.DG2014★ 29 cited
Riemannian metrics on Lie groupoids
Matias L. del Hoyo, Rui Loja Fernandes
We introduce a notion of metric on a Lie groupoid, compatible with multiplication, and we study its properties. We show that many families of Lie groupoids admit such metrics, incl…