Superficies homogéneas
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Abstract
El objetivo fundamental de este trabajo es demostrar que las superficies con curvaturas
principales constantes son localmente isométricas a superficies homogéneas y viceversa. Para ello, haremos una breve introducción a la teoría de superficies y presentaremos diferentes objetos geométricos que nos permitirán abordar dichas demostraciones
The main aim of this work is to prove that surfaces with constant principal curvatures are locally isometric to homogeneous hypersurfaces and conversely. We provide an introduction to the theory of surfaces and introduce several geometric objects that allow us to carry out that proof.
The main aim of this work is to prove that surfaces with constant principal curvatures are locally isometric to homogeneous hypersurfaces and conversely. We provide an introduction to the theory of surfaces and introduce several geometric objects that allow us to carry out that proof.
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Traballo Fin de Grao en Matemáticas. Curso 2021-2022
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Atribución-NoComercial-CompartirIgual 4.0 Internacional