El teorema de Killing-Hopf

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dc.contributor.advisorGarcía López, Ricardo, 1962-
dc.contributor.authorAtencia San Miguel, Josep
dc.date.accessioned2023-10-05T10:05:39Z
dc.date.available2023-10-05T10:05:39Z
dc.date.issued2023-06-13
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ricardo García Lópezca
dc.description.abstract[en] Driven by the study of the universe’s geometry, the Killing-Hopf theorem classifies the riemannian manifolds with constant sectional curvature, identifying them as the quotient of an euclidean space, a spherical space or a hyperbolic space. Starting from a theoretical foundation in differential geometry, in this essay we develop a proof of the theorem, focused on the application of geodesics curves and their metric properties in riemannian manifolds.ca
dc.format.extent52 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/202524
dc.language.isospaca
dc.rightscc-by-nc-nd (c) Josep Atencia San Miguel, 2023
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 diferencialca
dc.subject.classificationTreballs de fi de grau
dc.subject.classificationGeometria de Riemannca
dc.subject.classificationVarietats de Riemannca
dc.subject.otherDifferential geometryen
dc.subject.otherBachelor's theses
dc.subject.otherRiemannian geometryen
dc.subject.otherRiemannian manifoldsen
dc.titleEl teorema de Killing-Hopfca
dc.typeinfo:eu-repo/semantics/bachelorThesisca

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