# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Ricardo García López

# metadata.dc.description.abstract[].value
[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.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Josep Atencia San Miguel, 2023

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques