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Title: Twistor theory and gravitational instantons
Author: Fernández Piqué, Alejandro
Director: Mundet i Riera, Ignasi
Keywords: Geometria algebraica
Treballs de fi de grau
Geometria de Riemann
Equacions diferencials
Física matemàtica
Algebraic geometry
Bachelor's thesis
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
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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