4 citations · 8 across the 4 of their papers we have counts for
4 papers
Angle structures and hyperbolic -manifolds with totally geodesic boundary
Faze Zhang, Ruifeng Qiu, Tian Yang
This notes explores angle structures on ideally triangulated compact -manifolds with high genus boundary. We show that the existence of angle structures implies the existence of…
Volume and rigidity of hyperbolic polyhedral -manifolds
Feng Luo, Tian Yang
We investigate the rigidity of hyperbolic cone metrics on -manifolds which are isometric gluing of ideal and hyper-ideal tetrahedra in hyperbolic spaces. These metrics will be c…
On the Hyperbolic Gluing Equations and Representations of Fundamental Groups of Closed 3-Manifolds
Tian Yang
We show that for a representation of the fundamental group of a triangulated closed 3-manifold (not necessarily hyperbolic) into $\PSL$ so that any edge loop has non-trivial image…
Thurston's Spinning Construction and Solutions to the Hyperbolic Gluing Equations for Closed Hyperbolic 3-Manifolds
Feng Luo, Stephan Tillmann, Tian Yang
We show that the hyperbolic structure on a closed, orientable, hyperbolic 3-manifold can be constructed from a solution to the hyperbolic gluing equations using any triangulation w…