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http://hdl.handle.net/2445/186532
Title: | Introduction to Conformal Geometry and Penrose Diagrams |
Author: | Guerrero Domínguez, Daniel |
Director/Tutor: | Cirici, Joana |
Keywords: | Geometria conforme Treballs de fi de grau Geometria diferencial global Relativitat (Física) Conformal geometry Bachelor's theses Global differential geometry Relativity (Physics) |
Issue Date: | 24-Jan-2022 |
Abstract: | [en] Conformal geometry is the branch of mathematics that studies the transformations on manifolds that preserve the angles. It has a myriad of applications, both in mathematics and in physics. In this work we present an introduction to conformal geometry and describe its relation to Penrose diagrams, which are rep- resentations of spacetimes that preserve their causal structure. To this end, we start by providing the necessary tools for doing this work from semi-Riemannian geometry and conclude by giving examples of these diagrams. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Joana Cirici |
URI: | http://hdl.handle.net/2445/186532 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_guerrero_domínguez_daniel.pdf | Memòria | 1.61 MB | Adobe PDF | View/Open |
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