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dc.contributor.advisorJeffres, Thalia D.
dc.contributor.authorJones, Miranda Rose
dc.date.accessioned2011-11-28T16:07:02Z
dc.date.available2011-11-28T16:07:02Z
dc.date.copyright2011en
dc.date.issued2011-05
dc.identifier.othert11022
dc.identifier.urihttp://hdl.handle.net/10057/3996
dc.descriptionThesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statistics.en_US
dc.description.abstractThe problem studied here focuses on a compact manifold M without boundary in which the Riemannian metric g is on Λ = M – {p1, p2,…,pκ}. Near the pi 's, g has a particular type of singularity in which locally M = (0, δ)x × Ywhere Y is a Riemannian manifold with metric h. Calculation techniques involving Christoffel symbols, scalar curvature, and the Lapalacian of the manifold are used to reduce the Yamabe equation to a system of partial differential equations. After assuming that a function u > 0 satisfying the Yamabe equation exists, the most singular partial differential equation is solved using integration techniques to find necessary conditions on Y and h. Also studied in this paper are the conditions on Y and h for which M is already a manifold with constant scalar curvature.en_US
dc.format.extentvii, 37 p.en
dc.language.isoen_USen_US
dc.publisherWichita State Universityen_US
dc.rightsCopyright 2011 by Miranda Rose Jones. All rights reserveden
dc.subject.lcshElectronic dissertationsen
dc.titleConformal deformation of a conic metricen_US
dc.typeThesisen_US


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