3 papers
math.DG2025
Harmful structures and Killing spinors on unimodular Lie groups
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
A pseudo-Riemannian Einstein manifold with a Killing spinor and Killing constant induces on its nondegenerate hypersurfaces a pair of spinors and a symmetric tensor ,…
math.DG2025
Einstein metrics and Killing spinors on pseudo-Riemannian solvmanifolds
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
Riemannian Einstein solvmanifolds can be described in terms of nilsolitons, namely nilpotent Lie groups endowed with a left-invariant Ricci soliton metric. This characterization do…
math.DG2022
Diagonalization of the metric of a Lorentzian 3-manifold
Romeo Segnan Dalmasso
We study the problem of diagonalization of the metric of 3-dimensional Lorentzian manifold. Applying the technique of moving frames, we prove that every smooth Lorentzian 3-manifol…