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Formal matched asymptotics for degenerate Ricci flow neckpinches
Formal matched asymptotics Ricci flow neckpinches
2010/11/24
Gu and Zhu have shown that Type-II Ricci flow singularities develop from nongeneric rotationally symmetric Riemannian metrics on $S^m$, for all $m\geq 3$. In this paper, we describe and provide plaus...
Stability of symmetric spaces of noncompact type under Ricci flow
symmetric spaces noncompact type under Ricci flow
2010/11/23
In this paper we establish stability results for symmetric spaces of noncompact type under Ricci flow, i.e. we will show that any small perturbation of the symmetric metric is flown back to the origin...
Eigenvalues and entropys under the harmonic-Ricci flow
Eigenvalues entropys the harmonic-Ricci flow
2010/11/12
In this paper, the author discuss the eigenvalues and entropys under the harmonic-Ricci flow, which is the Ricci flow coupled with the harmonic map flow. We give an alternative proof of results for c...
In this paper we prove that given a smoothly conformally compact metric there is a short-time solution to the Ricci flow that remains smoothly conformally compact. We apply recent results of Schn\"ur...