We study nice nilpotent Lie algebras admitting a diagonal nilsoliton metric. We classify nice Riemannian nilsolitons up to dimension 9. For general signature, we show that determining whether a nilpotent nice Lie algebra admits a nilsoliton metric reduces to a linear problem together with a system of as many polynomial equations as the corank of the root matrix. We classify nice nilsolitons of any signature: in dimension ≤7; in dimension 8 for corank ≤1; in dimension 9 for corank zero.

Nice pseudo-Riemannian nilsolitons

Conti D.;
2022-01-01

Abstract

We study nice nilpotent Lie algebras admitting a diagonal nilsoliton metric. We classify nice Riemannian nilsolitons up to dimension 9. For general signature, we show that determining whether a nilpotent nice Lie algebra admits a nilsoliton metric reduces to a linear problem together with a system of as many polynomial equations as the corank of the root matrix. We classify nice nilsolitons of any signature: in dimension ≤7; in dimension 8 for corank ≤1; in dimension 9 for corank zero.
Conti, D.; Rossi, F. A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1159970
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