4 citations · 5 across the 5 of their papers we have counts for
5 papers
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 ,…
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…
Pseudo-Riemannian Sasaki solvmanifolds
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
We study a class of left-invariant pseudo-Riemannian Sasaki metrics on solvable Lie groups, which can be characterized by the property that the zero level set of the moment map rel…
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…
Killing spinors and hypersurfaces
Diego Conti, Romeo Segnan Dalmasso
We consider spin manifolds with an Einstein metric, either Riemannian or indefinite, for which there exists a Killing spinor. We describe the intrinsic geometry of nondegenerate hy…