A simple proof on the non-existence of shrinking breathers for the Ricci flow

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dc.creatorHsu, Shu-Yu
dc.date2005-09-05
dc.date2006-01-21
dc.date.accessioned2026-07-07T06:42:56Z
dc.date.available2026-07-07T06:42:56Z
dc.descriptionSuppose $M$ is a compact n-dimensional manifold, $n\ge 2$, with a metric $g_{ij}(x,t)$ that evolves by the Ricci flow $\partial_tg_{ij}=-2R_{ij}$ in $M\times (0,T)$. We will give a simple proof of a recent result of Perelman on the non-existence of shrinking breather without using the logarithmic Sobolev inequality.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0509087
dc.identifierhttp://arxiv.org/abs/math/0509087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102229
dc.subjectDifferential Geometry
dc.subject58J35, 53C44,58C99
dc.titleA simple proof on the non-existence of shrinking breathers for the Ricci flow
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