Published Paper
Inserted: 14 dec 2021
Last Updated: 18 may 2025
Journal: Riv. Math. Univ. Parma (N.S.)
Volume: 13
Number: 2
Pages: 449–479
Year: 2022
Abstract:
We exhibit a concrete procedure to construct Einstein pseudo-K\"ahler and para-K\"ahler metrics on solvable Lie algebras. We apply this method to classify all the rank-one pseudo-Iwasawa extensions of type-(Nil4) nilsoliton in low dimension. We prove that such metrics exists on the rank-one pseudo-Iwasawa extension of the generalized Heisenberg Lie algebra. Further ideas and suggestions to produce more special Einstein pseudo-Riemannian metrics are exposed.