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math.DG2022
Isometric Lie 2-group actions on Riemannian groupoids
Juan Sebastian Herrera-Carmona, Fabricio Valencia
We study isometric actions of Lie -groups on Riemannian groupoids by exhibiting some of their immediate properties and implications. Firstly, we prove an existence result which…
math.DG2022
Morse theory on Lie groupoids
Cristian Ortiz, Fabricio Valencia
In this paper we introduce Morse Lie groupoid morphisms and study their main properties. We show that this notion is Morita invariant which gives rise to a well defined notion of M…