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tfg_guerrero_domínguez_daniel.pdf (1.57 MB)

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Bachelor thesis

Publication date

2022-01-24

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cc-by-nc-nd (c) Daniel Guerrero Domínguez, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/186532

Introduction to Conformal Geometry and Penrose Diagrams

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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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Joana Cirici

Subject

Geometria conforme, Treballs de fi de grau, Geometria diferencial global, Relativitat (Física)

Subject (English)

Conformal geometry, Bachelor's theses, Global differential geometry, Relativity (Physics)

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

GUERRERO DOMÍNGUEZ, Daniel. Introduction to Conformal Geometry and Penrose Diagrams. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/186532

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