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On indefinite Einstein solvmanifolds admitting a Killing spinor
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
https://arxiv.org/abs/2507.23714 https://

On indefinite Einstein solvmanifolds admitting a Killing spinor
Riemannian Einstein solvmanifolds can be described in terms of nilsolitons, namely nilpotent Lie groups endowed with a left-invariant Ricci soliton metric. This characterization does not extend to indefinite metrics; nonetheless, nilsolitons can be defined and used to construct Einstein solvmanifolds of a higher dimension in any signature. An Einstein solvmanifold obtained by this construction turns out to satisfy the pseudo-Iwasawa condition, meaning that its Lie algebra splits as the orthog…