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http://hdl.handle.net/2445/202524
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DC Field | Value | Language |
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dc.contributor.advisor | García López, Ricardo, 1962- | - |
dc.contributor.author | Atencia San Miguel, Josep | - |
dc.date.accessioned | 2023-10-05T10:05:39Z | - |
dc.date.available | 2023-10-05T10:05:39Z | - |
dc.date.issued | 2023-06-13 | - |
dc.identifier.uri | http://hdl.handle.net/2445/202524 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ricardo García López | ca |
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.extent | 52 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | spa | ca |
dc.rights | cc-by-nc-nd (c) Josep Atencia San Miguel, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Geometria diferencial | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Geometria de Riemann | ca |
dc.subject.classification | Varietats de Riemann | ca |
dc.subject.other | Differential geometry | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Riemannian geometry | en |
dc.subject.other | Riemannian manifolds | en |
dc.title | El teorema de Killing-Hopf | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_atencia_sanmiguel_josep.pdf | Memòria | 1.29 MB | Adobe PDF | View/Open |
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