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math.DG2025
On the Rational Hyperbolicity problem
Ricardo Mendes, Alessandro Minuzzo, Marco Radeschi
We prove that a compact simply connected manifold with a variationally complete -action satisfying certain mild conditions (e.g. trivial principal isotropy, or simply connec…
math.DG2025
Reduction principles for proper actions
Leonardo Biliotti, Gustavo May Custodio, Alessandro Minuzzo
We study the core of a proper action by a Lie group on a smooth manifold , extending the construction for compact by Skjelbred and Straume. Moreover, we show that many p…