Browsing Mathematics (MA) by Subject "Hyperbolic Geometry"
Now showing items 1-3 of 3
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Compactness Theorems for The Spaces of Distance Measure Spaces and Riemann Surface Laminations
(2018-02-18)Gromov’s compactness theorem for metric spaces, a compactness theorem for the space of compact metric spaces equipped with the Gromov-Hausdorff distance, is a theorem with many applications. In this thesis, we give a ... -
Goldman Bracket : Center, Geometric Intersection Number & Length Equivalent Curves
(2017-11-30)Goldman [Gol86] introduced a Lie algebra structure on the free vector space generated by the free homotopy classes of oriented closed curves in any orientable surface F . This Lie bracket is known as the Goldman bracket ... -
Shortest Length Geodesics on Closed Hyperbolic Surfaces
(2018-01-31)Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on the surface, in fact a so called fat graph, which we call the systolic graph. The central question that we study in this ...