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http://hdl.handle.net/2445/108742| Title: | Twistor theory and gravitational instantons |
| Author: | Fernández Piqué, Alejandro |
| Director/Tutor: | Mundet i Riera, Ignasi |
| Keywords: | Geometria algebraica Treballs de fi de grau Geometria de Riemann Equacions diferencials Física matemàtica Algebraic geometry Bachelor's theses Riemannian geometry Differential equations Mathematical physics |
| Issue Date: | 27-Jun-2016 |
| 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. |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ignasi Mundet i Riera |
| URI: | http://hdl.handle.net/2445/108742 |
| 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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