Moritz Gruber

activity

20142021

most citedThe growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2017★ 1 cited

The growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group

Moritz Gruber

The filling volume functions of the n-th quaternionic Heisenberg group grow, up to dimension n, as fast as the ones of the Euclidean space. We identify the growth rate of the filli…

math.DG2015

Filling Invariants of Stratified Nilpotent Lie Groups

Moritz Gruber

Filling invariants are measurements of a metric space describing the behaviour of isoperimetric inequalities. In this article we examine filling functions and higher divergence fun…

math.DG2014★ 1 cited

Higher Divergence Functions for Heisenberg Groups

Moritz Gruber

We prove a Filling Theorem for the Heisenberg Groups $H^{2 n + 1}$ : For a given $k$ -cycle $a$ we construct a $(k + 1)$ -chain $b$ (the filling) with boundary $\partial b = a$ and controlle…