arXiv subjects

Faze Zhang

Publications and source records attributed to Faze Zhang.

2 recordsLinked to original sources

arXiv2025

Angle structures on pseudo 3-manifolds

It is still not known whether a hyperbolic 3-manifold admits an angle structure or not. We consider angle structures with area-curvature on triangulated pseudo 3-manifolds M in this article. A suficient and necessary condition for the existence of such angle structures is established. As a consequence, any compact hyperbolic 3-manifold with totally geodesic boundary admits an angle structure. We also derive certain topological information of M from the existence of such angle structures.

math.GT↗

arXiv2014

Angle structures and hyperbolic $3$-manifolds with totally geodesic boundary

This notes explores angle structures on ideally triangulated compact $3$-manifolds with high genus boundary. We show that the existence of angle structures implies the existence of a hyperbolic metric with totally geodesic boundary, and conversely each hyperbolic $3$-manifold with totally geodesic boundary has an ideal triangulation that admits angle structures.

math.GT↗