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| dc.contributor | Mundet i Riera, Ignasi | |
| dc.creator | Fernández Piqué, Alejandro | |
| dc.date | 2017-03-22T09:11:42Z | |
| dc.date | 2017-03-22T09:11:42Z | |
| dc.date | 2016-06-27 | |
| dc.date.accessioned | 2024-12-16T10:23:59Z | |
| dc.date.available | 2024-12-16T10:23:59Z | |
| dc.identifier | http://hdl.handle.net/2445/108742 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/16906 | |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ignasi Mundet i Riera | |
| dc.description | 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. | |
| dc.format | 51 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.rights | cc-by-nc-nd (c) Alejandro Fernández Piqué, 2016 | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | |
| dc.subject | Geometria algebraica | |
| dc.subject | Treballs de fi de grau | |
| dc.subject | Geometria de Riemann | |
| dc.subject | Equacions diferencials | |
| dc.subject | Física matemàtica | |
| dc.subject | Algebraic geometry | |
| dc.subject | Bachelor's theses | |
| dc.subject | Riemannian geometry | |
| dc.subject | Differential equations | |
| dc.subject | Mathematical physics | |
| dc.title | Twistor theory and gravitational instantons | |
| dc.type | info:eu-repo/semantics/bachelorThesis |
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