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http://hdl.handle.net/2445/202524
Title: | El teorema de Killing-Hopf |
Author: | Atencia San Miguel, Josep |
Director/Tutor: | García López, Ricardo, 1962- |
Keywords: | Geometria diferencial Treballs de fi de grau Geometria de Riemann Varietats de Riemann Differential geometry Bachelor's theses Riemannian geometry Riemannian manifolds |
Issue Date: | 13-Jun-2023 |
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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ricardo García López |
URI: | http://hdl.handle.net/2445/202524 |
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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