Papers › Nice pseudo-Riemannian nilsolitons
Nice pseudo-Riemannian nilsolitons
Diego Conti, Federico A. Rossi
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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.
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