New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras

Autor:	Rossi, Federico A.
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry 53C50 (Primary) 53C25 53C30 22E25 32M10 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 23 pages, 3 tables, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.06577 Zobrazit plný text záznamu View this record from Arxiv