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比利时vs摩洛哥足彩 ,
university of california san diego

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differential geometry seminar

guoyi xu

uc irvine

short-time existence of the ricci flow on noncompact riemannian manifolds

abstract:

in this talk, using the local ricci flow, we prove the short-time existence of the ricci flow on noncompact manifolds, whose ricci curvature has global lower bound and sectional curvature has only local average integral bound. the short-time existence of the ricci flow on noncompact manifolds was studied by wan-xiong shi in 1990s, who required a point-wise bound of curvature tensors. as a corollary of our main theorem, we get the short-time existence part of shi's theorem in this more general context.

host: ben weinkove

october 20, 2010

4:00 pm

ap&m 5829

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