| dc.identifier.uri | http://hdl.handle.net/1951/59630 | |
| dc.identifier.uri | http://hdl.handle.net/11401/71203 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | We study the problem of conformal deformation of Riemannian structure to constant scalar curvature with zero mean curvature on the boundary. We prove compactness for the full set of solutions when the boundary is umbilic and the dimension $n \leq 24$. The Weyl Vanishing Theorem is also established under these hypotheses, and we provide counter-examples to compactness when $n \geq 25$. Lastly, our methods point towards a vanishing theorem for the umbilicity tensor, which is anticipated to be fundamental for a study of the nonumbilic case. | |
| dcterms.available | 2013-05-22T17:34:24Z | |
| dcterms.available | 2015-04-24T14:46:29Z | |
| dcterms.contributor | Khuri, Marcus A | en_US |
| dcterms.contributor | Ebin, David G | en_US |
| dcterms.contributor | Anderson, Michael T | en_US |
| dcterms.contributor | Douglas, Michael R. | en_US |
| dcterms.creator | Disconzi, Marcelo Mendes | |
| dcterms.dateAccepted | 2013-05-22T17:34:24Z | |
| dcterms.dateAccepted | 2015-04-24T14:46:29Z | |
| dcterms.dateSubmitted | 2013-05-22T17:34:24Z | |
| dcterms.dateSubmitted | 2015-04-24T14:46:29Z | |
| dcterms.description | Department of Mathematics | en_US |
| dcterms.extent | 116 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | http://hdl.handle.net/1951/59630 | |
| dcterms.identifier | Disconzi_grad.sunysb_0771E_10863 | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/71203 | |
| dcterms.issued | 2012-05-01 | |
| dcterms.language | en_US | |
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Previous issue date: 1 | en |
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Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.subject | Compacness, Manifolds with boundary, Yamabe problem | |
| dcterms.title | Compactness and Non-compactness for the Yamabe Problem on Manifolds With Boundary | |
| dcterms.type | Dissertation | |
