5 papers
Dominating manifolds by radial spaces
Samuel Bronstein
This paper is devoted to a kind of rearrangement of functions on CD(k,n)-spaces, which satisfy a Polya-Szegö type inequality. We use this rearrangement to prove the validity of a M…
Anosov deformations of Barbot representations
Samuel Bronstein, Colin Davalo
We construct for each conformal structure on a closed orientable surface of genus at least 2 a proper slice in the character variety of representations of the associated surface gr…
Tykhyy's Conjecture on finite mapping class group orbits
Samuel Bronstein, Arnaud Maret
We classify the finite orbits of the mapping class group action on the character variety of Deroin--Tholozan representations of punctured spheres. In particular, we prove that the…
On Almost-Fuchsian submanifodls of Hadamard spaces and the asymptotic Plateau problem
Samuel Bronstein
We consider minimal submanifolds of negatively curved spaces with small curvature. We show that in a Hadamard space with negatively pinched curvature , complete mi…
On the Moser-Trudinger inequality for surfaces
Samuel Bronstein
This paper is devoted to the Moser-Trudinger inequality on smooth riemanniansurfaces. We establish that the constants involved can be chosen to depend on only 3parameters, which ar…