The geometry of weakly-Einstein manifolds
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Título: | The geometry of weakly-Einstein manifolds |
Autor/a: | Mariño Villar, Rodrigo |
Dirección/Titoría: | García Río, Eduardo Vázquez Abal, María Elena |
Centro/Departamento: | Universidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS) Universidade de Santiago de Compostela. Programa de Doutoramento en Matemáticas |
Palabras chave: | Riemannian geometry | Einstein Manifolds | Homogeneous manifolds | Hypersurfaces | Two-loop | |
Data: | 2021 |
Resumo: | The geometry of Einstein manifiolds is a well studied topic in differential geometry. Einstein metrics appear in the analysis of critical metrics for some Riemannian functionals. They add strong conditions on the manifold, so it is a natural question trying to weaken this condition. This thesis is devoted to the study of the so called weakly-Einstein manifolds. This conditions are analyzed under some special assumptions in different frames such as locally conformally flat manifolds, hypersurfaces or homogeneous manifolds. Moreover, other conditions related with the weakly-Einstein ones are also studied which are the generalized Einstein one and the two-loop renormalization flow. |
URI: | http://hdl.handle.net/10347/26603 |
Dereitos: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
Coleccións
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- Área de Ciencias [953]
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