most citedThe Existence of Soliton Metrics for Nilpotent Lie Groups

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math.DG2008★ 2 cited

The Ricci Flow for Nilmanifolds

Tracy L. Payne

We consider the Ricci flow for simply connected nilmanifolds, which translates to a Ricci flow on the space of nilpotent metric Lie algebras. We consider the evolution of the inner…

math.DG2008★ 4 cited

The Existence of Soliton Metrics for Nilpotent Lie Groups

Tracy L. Payne

We show that a left-invariant metric g on a nilpotent Lie group N is a soliton metric if and only if a matrix U and vector v associated the manifold (N,g) satisfy the matrix equati…