| dc.identifier.uri | http://hdl.handle.net/1951/55585 | |
| dc.identifier.uri | http://hdl.handle.net/11401/72636 | |
| 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 prove the following result: Let $(M,g)$ be a 3-dimensional $C^\infty$ Riemannian manifold for which there exists a $p\in M$ and a $v\in T_pM$ such that$$ \mathbf{Riem}(p) = 0 \ \ \ \ \ \text{and} \ \ \ \ \ \nabla_v\mathbf{Riem}(p) \neq 0. $$ Then there exists a $C^\infty$ local isometric embedding from a neighbourhood of $p$ into $\mathbb{R}^6$. | |
| dcterms.available | 2012-05-15T18:05:56Z | |
| dcterms.available | 2015-04-24T14:52:57Z | |
| dcterms.contributor | MICHAEL ANDERSON | en_US |
| dcterms.contributor | KHURI, MARCUS | en_US |
| dcterms.contributor | DARYL GELLER | en_US |
| dcterms.contributor | CHRISTINA SORMANI. | en_US |
| dcterms.creator | Poole, Thomas Edward | |
| dcterms.dateAccepted | 2012-05-15T18:05:56Z | |
| dcterms.dateAccepted | 2015-04-24T14:52:57Z | |
| dcterms.dateSubmitted | 2012-05-15T18:05:56Z | |
| dcterms.dateSubmitted | 2015-04-24T14:52:57Z | |
| dcterms.description | Department of Mathematics | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | http://hdl.handle.net/1951/55585 | |
| dcterms.identifier | Poole_grad.sunysb_0771E_10185.pdf | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/72636 | |
| dcterms.issued | 2010-08-01 | |
| dcterms.language | en_US | |
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Previous issue date: 1 | en |
| dcterms.provenance | Made available in DSpace on 2015-04-24T14:52:57Z (GMT). No. of bitstreams: 3
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Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.title | The local isometric embedding problem for 3-dimensional Riemannian manifolds with cleanly vanishing curvature | |
| dcterms.type | Dissertation | |
