Eduardo Garcia Rio

Eduardo García-Río is a University Professor at the Faculty of Mathematics and a member of the Department of Mathematics at the University of Santiago de Compostela. He is affiliated with the Galician Mathematical Research and Technology Center (CITMAga) and has supervised research groups such as the Nonlinear Differential Equations (EDNL) and Riemannian Geometry research teams.

• Education: Ph.D. in Mathematics from the University of Santiago de Compostela (1992) with a thesis on Indefinite quasi-Hermitian varieties.

Research Interests: García-Río specializes in Geometry and Topology, particularly in Differential Geometry and Relativity. His work focuses on Lorentzian manifolds, Ricci solitons, Walker metrics, and affine structures. He has contributed to understanding conformally Osserman manifolds, homogeneous spaces, and quasi-Einstein metrics.

Article Trends: His recent research explores four-dimensional homogeneous metrics, conformally Einstein manifolds, and gradient Ricci solitons in Lorentzian settings. Key themes include Bach-flat metrics, critical curvature functionals, and applications to massive gravity and renormalization flows.

Advising and Grants: While specific students and grants are not listed, his long-term involvement in collaborative projects, such as those with zbMATH and MathSciNet, indicates extensive mentorship in mathematical research.

Labs and Teams: García-Río is associated with the Galician Mathematical Research and Technology Center (CITMAga) and has contributed to international collaborations with institutions like the American Mathematical Society and the Royal Society of Edinburgh.