RT Dissertation/Thesis
T1 The geometry of weakly-Einstein manifolds
A1 Mariño Villar, Rodrigo
K1 Riemannian geometry
K1 Einstein Manifolds
K1 Homogeneous manifolds
K1 Hypersurfaces
K1 Two-loop
AB 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.
YR 2021
FD 2021
LK http://hdl.handle.net/10347/26603
UL http://hdl.handle.net/10347/26603
LA eng
DS Minerva
RD 25 abr 2026