Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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F. A. Rossi

New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras

created by rossi on 14 Dec 2021



Inserted: 14 dec 2021
Last Updated: 14 dec 2021

Year: 2021

ArXiv: 2112.06577 PDF


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.

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