7 papers
Geometric finiteness in paracomplex hyperbolic spaces
Tianqi Wang, Zhufeng Yao, Tengren Zhang
We develop a framework for studying discrete subgroups of via the paracomplex hyperbolic space , a rank- pseudo-Riemannian symmetr…
Regularity of Manhattan manifolds and exact dimensionality for relatively Anosov groups
Eduardo Reyes, Tianqi Wang
We establish several results about Patterson--Sullivan measures for relatively Anosov groups. First, we prove that these measures are exact dimensional with respect to visual metri…
Positive representations over real closed fields
Xenia Flamm, Nicolas Tholozan, Tianqi Wang +1
We develop the theory of -positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map…
Gromov hyperbolicity of intrinsic metrics from isoperimetric inequalities
Tianqi Wang, Andrew Zimmer
In this paper we investigate the Gromov hyperbolicity of the classical Kobayashi and Hilbert metrics, and the recently introduced minimal metric. Using the linear isoperimetric ine…
Notions of Anosov representation of relatively hyperbolic groups
Tianqi Wang
We prove that divergent, extended geometrically finite (in the sense of Weisman arXiv:2205.07183) representations can be interpreted as restricted Anosov (in the sense of Tholozan-…
Simple Anosov representations of closed surface groups
Nicolas Tholozan, Tianqi Wang
We introduce and study \emph{simple Anosov representations} of closed hyperbolic surface groups, analogous to Minsky's \emph{primitive stable representations} of free groups. We pr…
The symplectic geometry of a new kind of Siegel upper half space of order 2 (I)
Tianqin Wang, Tianze Wang, Hongwen Lu
In this paper, we introduce a new kind of Siegel upper half space and consider the symplectic geometry on it explicitly under the action of the group of all holomorphic transformat…