Twistor theory and gravitational instantons

Vista senzilla d'ítem
dc.contributor.advisorMundet i Riera, Ignasi
dc.contributor.authorFernández Piqué, Alejandro
dc.date.accessioned2017-03-22T09:11:42Z
dc.date.available2017-03-22T09:11:42Z
dc.date.issued2016-06-27
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ignasi Mundet i Rieraca
dc.description.abstractThe 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.extent51 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/108742
dc.language.isoengca
dc.rightscc-by-nc-nd (c) Alejandro Fernández Piqué, 2016
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques
dc.subject.classificationGeometria algebraica
dc.subject.classificationTreballs de fi de grau
dc.subject.classificationGeometria de Riemannca
dc.subject.classificationEquacions diferencialsca
dc.subject.classificationFísica matemàticaca
dc.subject.otherAlgebraic geometry
dc.subject.otherBachelor's theses
dc.subject.otherRiemannian geometryeng
dc.subject.otherDifferential equationseng
dc.subject.otherMathematical physicseng
dc.titleTwistor theory and gravitational instantonsca
dc.typeinfo:eu-repo/semantics/bachelorThesisca

Fitxers

Paquet original

Mostrant 1 - 1 de 1
Miniatura
Nom:
memoria.pdf
Mida:
657.88 KB
Format:
Adobe Portable Document Format
Descripció:
Memòria
Descarregar

Col·leccions

Treballs Finals de Grau (TFG) - Matemàtiques