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math.DG2013
A Spectra comparison theorem and its applications
Filippo Cerocchi
We give a sharp comparison between the spectra of two Riemannian manifolds (Y,g) and (X,g_0) under the following assumptions: (X,g_0) has bounded geometry, (Y,g) admits a continuou…
math.DG2012
Margulis Lemma, entropy and free products
Filippo Cerocchi
We prove a Margulis' Lemma à la Besson Courtois Gallot, for manifolds whose fundamental group is a nontrivial free product A*B, without 2-torsion. Moreover, if A*B is torsion-free…