4 citations · 6 across the 3 of their papers we have counts for
3 papers
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…
math.DS2008
Anosov Automorphisms of Nilpotent Lie Algebras
Tracy L. Payne
Each matrix A in GL_n(Z) naturally defines an automorphism f of the free r-step nilpotent Lie algebra on n generators. We study the relationship between the matrix A and the eigenv…