| 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 |
|