2 citations · 3 across the 6 of their papers we have counts for
7 papers
Volume growth of horospheres in diagonalizable Heintze groups
Gilles Courtois, Pablo Lessa, Emiliano Sequeira
We study the volume growth of horospheres in a Heintze group of the form R ___ A R d with A a diagonal derivation. We conclude that the isometry and quasi-isometry classes of horos…
On Asymptotic and Continuous Group Orlicz Cohomology
Yaroslav Kopylov, Emiliano Sequeira
We generalize some results on asymptotic and continuous group -cohomology to Orlicz cohomology. In particular, we show that asymptotic Orlicz cohomology is a quasi-isometry in…
De Rham's theorem for Orlicz cohomology
Emiliano Sequeira
We prove that the de Rham -cohomology of a Riemannian manifold admiting a convenient triangulation is isomorphic to the simplicial -cohomology of for any Y…
Sets with large intersection properties in metric spaces
Felipe Negreira, Emiliano Sequeira
In this work we reproduce the characterization of $\Gg^s$-sets from the euclidean setting [J. London Math. Soc. 49:267-280,1994] to more general metric spaces. These sets have Haus…
De Rham's theorem for Orlicz cohomology in the case of Lie groups
Emiliano Sequeira
We prove the equivalence between the simplicial Orlicz cohomology and the Orlicz-de Rham cohomology in the case of Lie groups. Since the first one is a quasi-isometry invariant for…
Relative -cohomology and Heintze groups
Emiliano Sequeira
We introduce the notion of \textit{relative -cohomology} as a quasi-isometry invariant defined for Gromov-hyperbolic spaces, and apply it to the problem of quasi-isometry clas…
On quasi-isometry invariants associated to the derivation of a Heintze group
Matias Carrasco Piaggio, Emiliano Sequeira
A a Heintze group is a Lie group of the form , where is a simply connected nilpotent Lie group and is a derivation of whose eigenval…