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Computational methods for nilsoliton metric Lie algebras. I

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Publication:1930178
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DOI10.1016/j.jsc.2012.08.005zbMath1303.17001OpenAlexW2042794953MaRDI QIDQ1930178

Tracy L. Payne, Hülya Kadioglu

Publication date: 10 January 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2012.08.005


zbMATH Keywords

nilpotent Lie algebrasoliton metricnilsoliton inner product


Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)


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The Search for Solitons on Homogeneous Spaces ⋮ Laplacian flow of closed \(G_2\)-structures inducing nilsolitons ⋮ Methods for parametrizing varieties of Lie algebras ⋮ Explicit Ricci solitons on nilpotent Lie groups ⋮ Classification of nilsoliton metrics in dimension seven ⋮ Construction of nice nilpotent Lie groups ⋮ Solvsolitons associated with Heisenberg algebras ⋮ Indefinite Einstein metrics on nice Lie groups ⋮ Ricci-flat and Einstein Pseudoriemannian nilmanifolds ⋮ Nice pseudo-Riemannian nilsolitons ⋮ Classification of ordered type soliton metric Lie algebras by a computational approach



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