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The geometry of weakly-Eins...

The geometry of weakly-Einstein manifolds

Mariño Villar, Rodrigo

Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico 2021-11-10

The geometry of Einstein manifolds 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

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monografia Rebiun36789798 https://catalogo.rebiun.org/rebiun/record/Rebiun36789798 cr ||||||a|a|| 220309s211110 |||||||||||00| 0 spa d DX1101675842 spa The geometry of weakly-Einstein manifolds Rodrigo Mariño Villar 1 Santiago de Compostela Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico 2021-11-10 Santiago de Compostela Santiago de Compostela Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico Publicaciones del Departamento de Geometría y Topología The geometry of Einstein manifolds 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 geometry of Einstein manifolds Mathematics Matemáticas Mathematics Matemáticas Mariño Villar, Rodrigo

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monografia Rebiun36789798 https://catalogo.rebiun.org/rebiun/record/Rebiun36789798 cr ||||||a|a|| 220309s211110 |||||||||||00| 0 spa d DX1101675842 spa The geometry of weakly-Einstein manifolds Rodrigo Mariño Villar 1 Santiago de Compostela Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico 2021-11-10 Santiago de Compostela Santiago de Compostela Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico Publicaciones del Departamento de Geometría y Topología The geometry of Einstein manifolds 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 geometry of Einstein manifolds Mathematics Matemáticas Mathematics Matemáticas Mariño Villar, Rodrigo