Link to the University of Pittsburgh Homepage
Link to the University Library System Homepage Link to the Contact Us Form

On hyperbolic 3-orbifolds of small volume

Gaona, Tyler (2022) On hyperbolic 3-orbifolds of small volume. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

Download (1MB) | Preview


This thesis is concerned with hyperbolic 3-orbifolds of small volume. An n-orbifold is a space which locally, i.e. in a neighborhood of any point, looks like a quotient of Euclidean space \(\mb{R}^n\). We are interested in those spaces which may be equipped with hyperbolic geometry, i.e. are locally modeled on the quotient \(\mb{H}^n\) by a discrete subgroup of its isometries. Following the work of Meyerhoff and Adams we classify minimal volume orbifolds with one rigid and one nonrigid cusp. We then discuss joint work with J. DeBlois, A. H. Ekanayake, M. Fincher, A. Gharagozlou, and P. Mondal on establishing a census of orbifolds commensurable with the figure eight knot complement.


Social Networking:
Share |


Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Gaona, Tylergaona@protonmail.comtag74
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairDeBlois,
Committee MemberHales,
Committee MemberHoffman,
Committee MemberSchikorra,
Date: 30 September 2022
Date Type: Publication
Defense Date: 13 July 2022
Approval Date: 30 September 2022
Submission Date: 29 July 2022
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 114
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: hyperbolic geometry orbifold cusp commensurable
Additional Information: draft
Date Deposited: 30 Sep 2022 19:02
Last Modified: 30 Nov 2022 12:46


Monthly Views for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item