比利时vs摩洛哥足彩
,
university of california san diego
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joint uci-ucsd geometry seminar
jacob bernstein
massachusetts institute of technology
helicoid-like minimal disks
abstract:
colding and minicozzi have shown that if an embedded minimal disk in $b_r\subset\mathbb{r}^3$ has large curvature then in a smaller ball, on a scale still proportional to $r$, the disk looks roughly like a piece of a helicoid. in this talk, we will see that near points whose curvature is relatively large the description can be made more precise. that is, in a neighborhood of such a point (on a scale $s$ proportional to the inverse of the curvature of the point) the surface is bi-lipschitz to a piece of a helicoid. moreover, the lipschitz constant goes to 1 as $rs$ goes to $\infty$ . this follows from meeks and rosenberg's result on the uniqueness of the helicoid of which, time permitting, we will discuss a new proof. joint work with c. breiner.
hosts: ben weinkove and lei ni
december 3, 2008
4:00 pm
ap&m 6402
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