Federico A. Rossi

Federico A. Rossi is a Professor at the University of Perugia, Italy, specializing in differential geometry and Lie theory with emphasis on Einstein manifolds, solvmanifolds, and pseudo-Riemannian structures. His research explores geometric properties of Lie groups and homogeneous spaces through special metric constructions.

His primary research focuses on ad-invariant metrics, indefinite Einstein metrics, and Killing spinors on Lie groups. He investigates uniqueness properties of geometric structures and constructs non-standard examples beyond classical nilsolitons, particularly in pseudo-Riemannian contexts. This work bridges differential geometry, mathematical physics, and Lie theory with applications to theoretical physics models.

Analysis of his 15 most recent publications (2025-2019) reveals consistent exploration of Einstein solvmanifolds and nilmanifolds with indefinite metrics. Key themes include diagram involutions for Ricci-flat metrics, ad-invariant metrics on nonnice Lie algebras, and pseudo-Kähler structures. His contributions extend Riemannian geometry results to broader pseudo-Riemannian settings, demonstrating interdisciplinary relevance.

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