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math.DG2007
A Ricci nilsoliton is nongradient
Luca Fabrizio Di Cerbo
In this brief note, we clarify that a Ricci nilsoliton cannot be of gradient type.
math.DG2007★ 17 cited
Eigenvalues of the Laplacian under the Ricci Flow
Luca Fabrizio Di Cerbo
We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications…