3 citations · 6 across the 7 of their papers we have counts for
10 papers
Stability for boundary actions of cocompact lattices in Euclidean buildings
Thang Nguyen, Theodore Weisman
When is a locally compact Euclidean building, the isometry group of acts by homeomorphisms on the space of -simplices in the visual boundary of . We consider perturba…
Rigidity of compact rank one symmetric spaces
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider rigidity properties of compact symmetric spaces with metric of rank one. Suppose is another Riemannian metric on with sectional curvature bounded…
Boundary actions of lattices and local semi-rigidity
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider actions of cocompact lattices in semisimple Lie groups of the noncompact type on their boundaries , a parabolic group, the so-called standard actions. We show…
Marked length spectrum rigidity for relatively hyperbolic groups
Thang Nguyen, Shi Wang
We consider a coarse version of the marked length spectrum rigidity: given a group with two left invariant metrics, if the marked length spectrum (the translation length function)…
Carnot metrics, Dynamics and Local Rigidity
Chris Connell, Thang Nguyen, Ralf Spatzier
This paper develops new techniques for studying smooth dynamical systems in the presence of a \CC metric. Principally, we employ the theory of Margulis-Mostow, Métivier, Mitchell a…
Cheeger-Gromoll Splitting Theorem for groups
Thang Nguyen, Shi Wang
We study a notion of curvature for finitely generated groups which serves as a role of Ricci curvature for Riemannian manifolds. We prove an analog of Cheeger-Gromoll splitting the…
Quasi-isometric embeddings of symmetric spaces and lattices: reducible case
Thang Nguyen
We study quasi-isometric embeddings of symmetric spaces and non-uniform irreducible lattices in semisimple higher rank Lie groups. We show that any quasi-isometric embedding betwee…
Rigidity of warped cones and coarse geometry of expanders
David Fisher, Thang Nguyen, Wouter van Limbeek
We study the geometry of warped cones over free, minimal isometric group actions and related constructions of expander graphs. We prove a rigidity theorem for the coarse geometry o…
Hyperbolic rank rigidity for manifolds of -pinched negative curvature
Chris Connell, Thang Nguyen, Ralf Spatzier
A Riemannian manifold has higher hyperbolic rank if every geodesic has a perpendicular Jacobi field making sectional curvature -1 with the geodesic. If in addition, the section…
Quasi-isometric embeddings of non-uniform lattices
David Fisher, Thang Nguyen
Let and be simple Lie groups of equal real rank and real rank at least . Let and be non-uniform lattices. We prove a theorem that often implies that any q…