6 citations · 11 across the 6 of their papers we have counts for
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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…
A non-Standard Indefinite Einstein Solvmanifold
Federico A. Rossi
We describe an example of an indefinite invariant Einstein metric on a solvmanifold which is not standard, and whose restriction on the nilradical is nondegenerate.
A construction of Einstein solvmanifolds not based on nilsolitons
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
We construct indefinite Einstein solvmanifolds that are standard, but not of pseudo-Iwasawa type. Thus, the underlying Lie algebras take the form ,…
Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
The aim of this paper is to construct left-invariant Einstein pseudo-Riemannian Sasaki metrics on solvable Lie groups. We consider the class of -standard Sasaki solvab…
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…