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math.DG2025
The characteristic group of Lie LCP manifolds
Viviana del Barco, Andrei Moroianu
The (reduced) characteristic group of a locally conformally product manifold is obtained by restricting the action of its fundamental group to the non-flat factor of the universal…
math.DG2025
Left-invariant -structures of type III
Viviana del Barco, Ana Cristina Ferreira, Ines Kath
We investigate left-invariant -structures on 7-dimensional Lie groups, focusing on those whose holonomy algebras are indecomposable and of type III, the latter meaning…
math.DG2024
The structure of locally conformally product Lie algebras
Viviana del Barco, Andrei Moroianu
A locally conformally product (LCP) structure on a compact conformal manifold is a closed non-exact Weyl connection (i.e.~a linear connection which is locally but not globally the…