14 citations · 29 across the 8 of their papers we have counts for
5 papers · 1 filter
Constructing Geometrically Equivalent Hyperbolic Orbifolds
D. B. McReynolds, Jeffrey S. Meyer, Matthew Stover
In this paper, we construct families of nonisometric hyperbolic orbifolds that contain the same isometry classes of nonflat totally geodesic subspaces. The main tool is a variant o…
Systolic Surfaces of Arithmetic Hyperbolic 3-Manifolds
Benjamin Linowitz, Jeffrey S. Meyer
In this paper we examine the geometry of minimal surfaces of arithmetic hyperbolic 3-manifolds. In particular, we give bounds on the totally geodesic 2-systole, construct infinitel…
The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces
Benjamin Linowitz, Jeffrey S. Meyer, Paul Pollack
In this paper we examine the relationship between the length spectrum and the geometric genus spectrum of an arithmetic hyperbolic 3-orbifold M. In particular we analyze the extent…
Totally Geodesic Spectra of Quaternionic Hyperbolic Orbifolds
Jeffrey S. Meyer
In this paper we analyze and classify the totally geodesic subspaces of finite volume quaternionic hyperbolic orbifolds and their generalizations, locally symmetric orbifolds arisi…
On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces
Benjamin Linowitz, Jeffrey S. Meyer
An old problem asks whether a Riemannian manifold can be isospectral to a Riemannian orbifold with nontrivial singular set. In this short note we show that under the assumption of…