Shortest Length Geodesics on Closed Hyperbolic Surfaces

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 thesis is: which fat graphs are systolic graphs for some surface -we call such...

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Bibliographic Details
Main Author: Sanki, Bidyut
Other Authors: Gadgil, Siddhartha
Language:en_US
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/2005/3049
http://etd.ncsi.iisc.ernet.in/abstracts/3913/G26900-Abs.pdf