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dc.contributor.advisor Hempel, John
dc.creatorJones, Kerry Nelson
dc.date.accessioned 2009-06-04T00:44:57Z
dc.date.available 2009-06-04T00:44:57Z
dc.date.issued 1990
dc.identifier.urihttps://hdl.handle.net/1911/16355
dc.description.abstract Cone manifolds are defined and several standard geometric techniques for Riemannian manifolds are generalized to this setting. Smoothing techniques for approximating cone manifolds by smooth Riemannian manifolds with bounded sectional curvature are discussed. This involves some quite explicit curvature computations. The connection is then made between branched covers and cone manifolds by showing that cone manifold structures lift to a branched cover. Topological results concerning existence of incompressible tori and Seifert-fibered spaces in branched covers are then obtained by lifting cone manifold structures to a branched cover, smoothing the cone manifold structure to a bounded curvature metric, then using differential-geometric techniques on the smooth manifold. These results are then used in several explicit examples.
dc.format.extent 66 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title Cone manifolds in three-dimensional topology applications to branched covers
dc.identifier.digital JonesK
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Jones, Kerry Nelson. "Cone manifolds in three-dimensional topology applications to branched covers." (1990) Diss., Rice University. https://hdl.handle.net/1911/16355.


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