2026-09-21T07:34:28Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/45475 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Leininger, Christopher J. Athreya, Jayadev S. Leininger, Christopher J. Kapovitch, Ilia Alexander, Stephanie B. Bankovic, Anja 2013-08-22T16:41:19Z 2013-08-22T16:41:19Z 2013-08 2013-08-22T16:41:19Z 2013-08 This dissertation is concerned with equivalence relations on homotopy classes of curves coming from various spaces of at metrics on a genus g >1 surface. We prove an analog of a result of Randol (building on work of Horowitz) for subfamilies of at metrics coming from q-di erentials. In addition we also describe how these equivalence relations are related to each other. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-07-02T13:37:39Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 thesis.tex: 72862 bytes, checksum: c1b7d18b76ebf65877666869ea3d01fb (MD5) Bankovic_Anja.pdf: 358494 bytes, checksum: ca839a66379629aa8805821afe14c919 (MD5) Made available in DSpace on 2013-08-22T16:41:19Z (GMT). No. of bitstreams: 3 Anja_Bankovic.pdf: 358493 bytes, checksum: f77762bbcc0fd0e1a0f13274e29b9fd5 (MD5) thesis.tex: 72913 bytes, checksum: a96e41802162c3723a0e6cc05410c7ec (MD5) license.txt: 4063 bytes, checksum: 3d0f1323802024baa2937131bd2a8d6c (MD5) http://hdl.handle.net/2142/45475 en Copyright 2013 by Anja Bankovic. All rights reserved. hyperbolic metric length functions Euclidean cone metric curves on surfaces Length functions in flat metrics text Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD