8 citations · 23 across the 12 of their papers we have counts for
13 papers
Minimal foliations, codimension-one stable norms, and a question of Bangert
Hoan Nguyen
We compute the codimension-one stable norm for a natural class of cohomogeneity-one metrics on tori. In every dimension , the formula yields smooth nonflat metrics for which…
Largest hyperbolic actions of 3--manifold groups
Carolyn Abbott, Hoang Thanh Nguyen, Alexander J. Rasmussen
The set of equivalence classes of cobounded actions of a group G on different hyperbolic metric spaces carries a natural partial order. Following Abbott--Balasubramanya--Osin, the…
Strongly Quasiconvex subgroups in graphs of groups
Hoang Thanh Nguyen, Hung Cong Tran
Given a graph of groups with certain conditions on vertex groups and acts acylindrically on its Bass-Serre tree . Let be a finitely…
Sublinearly Morse Boundary of CAT(0) admissible groups
Hoang Thanh Nguyen, Yulan Qing
We show that if G is an admissible group acting geometrically on a CAT(0) space X, then G is a hierarchically hyperbolic space and with mild assumptions the sublinearly-Morse bound…
Property (QT) for 3-manifold groups
Suzhen Han, Hoang Thanh Nguyen, Wenyuan Yang
According to Bestvina-Bromberg-Fujiwara, a finitely generated group is said to have property (QT) if it acts isometrically on a finite product of quasi-trees so that orbital maps a…
Croke-Kleiner admissible groups: Property (QT) and quasiconvexity
Hoang Thanh Nguyen, Wenyuan Yang
Croke-Kleiner admissible groups firstly introduced by Croke-Kleiner belong to a particular class of graph of groups which generalize fundamental groups of --dimensional graph ma…
Quasiconvexity in -manifold groups
Hoang Thanh Nguyen, Hung Cong Tran, Wenyuan Yang
In this paper, we study strongly quasiconvex subgroups in a finitely generated --manifold group . We prove that if is a compact, orientable --manifold that does n…
Subgroup distortion of 3-manifold groups
Hoang Thanh Nguyen, Hongbin Sun
In this paper, we compute the subgroup distortion of all finitely generated subgroups of all finitely generated 3-manifold groups, and the subgroup distortion in this case can only…
Quasi-isometry of pairs: surfaces in graph manifolds
Hoang Thanh Nguyen
We show there exists a closed graph manifold and infinitely many non-separable, horizontal surfaces such that there does not exist a quasi-…
Distortion of surfaces in 3-manifolds
Hoang Thanh Nguyen
Let be a properly immersed --injective surface in a non-geometric --manifold . We compute the distortion of in and show…
On the coarse geometry of certain right-angled Coxeter groups
Hoang Thanh Nguyen, Hung Cong Tran
Let be a connected, triangle-free, planar graph with at least five vertices that has no separating vertices or edges. If the graph is , we prove that the rig…
On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups
Matthew Haulmark, Hoang Thanh Nguyen, Hung Cong Tran
In this article, we study the manifold structure and the relatively hyperbolic structure of right-angled Coxeter groups with planar nerves. We then apply our results to the quasi-i…
Distortion of surfaces in graph manifolds
G. Christopher Hruska, Hoang Thanh Nguyen
Let S be an immersed horizontal surface in a 3-dimensional graph manifold. We show that the fundamental group of the surface S is quadratically distorted whenever the surface is vi…