Browsing by Author "Mariño-Villar, Rodrigo"
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- ItemFixed points and steady solitons for the two-loop renormalization group flow(Journal of Fixed Point Theory and Applications, 2023-01-26) García-Río, Eduardo; Mariño-Villar, Rodrigo; Vázquez-Abal, María Elena; Vázquez-Lorenzo, RamónSolitons for the two-loop renormalization group flow are studied in the four-dimensional homogeneous setting, providing a classification of algebraic steady four-dimensional solitons.
- ItemFour-dimensional homogeneous manifolds satisfying some Einstein-like conditions(Kodai Mathematical Journal, 2020-10) García-Río, Eduardo; Haji-Badali, Ali; Mariño-Villar, Rodrigo; Vázquez-Abal, M. ElenaWe classify four-dimensional homogeneous manifolds satisfying some generalized Einstein conditions.
- ItemHomogeneous generalized Einstein manifolds in dimension four(2021-08-20) García-Río, Eduardo; Mariño-Villar, Rodrigo; Vázquez-Abal, María Elena; Vázquez-Lorenzo, RamónWe classify homogeneous four-dimensional manifolds satisfying a curvaturecondition which naturally generalizes the Einstein one. Our work leads to newexamples of self-similar solutions of the two-loop renormalization group flow.
- ItemLocally conformally flat weakly-Einstein manyfolds(Archiv der Mathematik, 2018-11-21) García-Río, Eduardo; Haji-Badali, Ali; Mariño-Villar, Rodrigo; Vázquez-Abal, M. ElenaIt is shown that locally conformally flat weakly-Einstein manifolds are either locally symmetric, and hence a product Nm1(c) × Nm2(−c), or other-wise they are locally some specific warped product metrics I ×f N(c). As an application we classify weakly-Einstein hypersurfaces in the Euclidean space.
- ItemStructure of locally conformally flat manifolds satisfying some weakly-Einstein conditions(Journal of Geometry and Physics, 2023-04) Mariño-Villar, RodrigoIt is given a complete study of locally conformally flat metrics satisfying some weaklyEinstein conditions. It is shown that they are either a product Mn(c)× Mn(−c) or a warped product R ×f Rn−1 for some specific warping function. Moreover, some conditions on locally conformally flat fixed points for the RG2 flow are pointed out.