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http://hdl.handle.net/2445/108742Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Mundet i Riera, Ignasi | - |
| dc.contributor.author | Fernández Piqué, Alejandro | - |
| dc.date.accessioned | 2017-03-22T09:11:42Z | - |
| dc.date.available | 2017-03-22T09:11:42Z | - |
| dc.date.issued | 2016-06-27 | - |
| dc.identifier.uri | http://hdl.handle.net/2445/108742 | - |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ignasi Mundet i Riera | ca |
| dc.description.abstract | The aim of this work is to understand and introduce a self-contained account of the construction of certain kind of gravitational instantons made by Hitchin in his work “Polygons and Gravitons”. Gravitational instantons are solutions of the Einstein equations which have a complete, non-singular and positive definite metric. Hitchin use twistor theory to construct these solutions. We present beforehand some concepts of self-duality, differential operators and connections to understand twistor theory. Afterwards, the construction of the aforementioned instantons is explained in full detail. | ca |
| dc.format.extent | 51 p. | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | eng | ca |
| dc.rights | cc-by-nc-nd (c) Alejandro Fernández Piqué, 2016 | - |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
| dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
| dc.subject.classification | Geometria algebraica | - |
| dc.subject.classification | Treballs de fi de grau | - |
| dc.subject.classification | Geometria de Riemann | ca |
| dc.subject.classification | Equacions diferencials | ca |
| dc.subject.classification | Física matemàtica | ca |
| dc.subject.other | Algebraic geometry | - |
| dc.subject.other | Bachelor's theses | - |
| dc.subject.other | Riemannian geometry | eng |
| dc.subject.other | Differential equations | eng |
| dc.subject.other | Mathematical physics | eng |
| dc.title | Twistor theory and gravitational instantons | ca |
| dc.type | info:eu-repo/semantics/bachelorThesis | ca |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| memoria.pdf | Memòria | 657.88 kB | Adobe PDF | View/Open |
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