3 citations · 7 across the 7 of their papers we have counts for
8 papers
Verified Length Spectrum and Margulis number for Hyperbolic 3-Manifolds
Matthias Goerner, Robert C. Haraway, Neil R. Hoffman +1
We present a new algorithm to compute a stream for the length spectrum of an oriented, finite-volume hyperbolic 3-manifold . The advantage over the existing algorithm by Hodgson…
Approximating Surfaces in by Meshes with Guaranteed Regularity
Joel Hass, Maria Trnkova
We study the problem of approximating a surface in by a high quality mesh, a piecewise-flat triangulated surface whose triangles are as close as possible to equilateral.…
Hyperbolic Flowers
Maria Trnkova
Crochet models of a hyperbolic plane is a popular educational tool as they help to visualize complicated objets in hyperbolic geometry. We present another way how to make crochet m…
Quadratic differentials, measured foliations and metric graphs on punctured surfaces
Kealey Dias, Subhojoy Gupta, Maria Trnkova
A meromorphic quadratic differential on a punctured Riemann surface induces horizontal and vertical measured foliations with pole-singularities. In a neighborhood of a pole such a…
Rigorous computations with an approximate Dirichlet domain
Maria Trnková
In this paper we address some problems concerning an approximate Dirichlet domain. We show that under some assumptions the approximate Dirichlet domain can work equally well as an…
Exceptional hyperbolic 3-manifolds
David Gabai, Maria Trnkova
We correct and complete a conjecture of D. Gabai, R. Meyerhoff and N. Thurston on the classification and properties of thin tubed closed hyperbolic 3-manifolds. We additionally sho…
On models of non-Eucludian spaces generated by associative algebras
Maria Trnkova
We present the non-trivial example how to generate non-Euclidean geometries from associative unital algebras. We consider bundles of the sphere of the degenerate non-Eucleadian spa…
On principal fibrations associated with one algebra
Maria Trnkova
In this paper we study two types of fibrations associated with a 3-dimensional unital associative irreducible algebra and their basic properties. We investigate trivial principal f…