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arXiv · 2112.06577

New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras

Federico A. Rossi
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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.

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Federico A. Rossi. 2021-12-13. New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras. https://arxiv.org/abs/2112.06577

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