Controlling area blow-up in minimal or bounded mean curvature varieties
نویسندگان
چکیده
منابع مشابه
Blow up of Subcritical Quantities at the First Singular Time of the Mean Curvature Flow
Consider a family of smooth immersions F (·, t) : M → R of closed hypersurfaces in R moving by the mean curvature flow ∂F (p,t) ∂t = −H(p, t) ·ν(p, t), for t ∈ [0, T ). We show that at the first singular time of the mean curvature flow, certain subcritical quantities concerning the second fundamental form, for example ∫ t 0 ∫ Ms |A| log(2+|A|)dμds, blow up. Our result is a log improvement of re...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2016
ISSN: 0022-040X
DOI: 10.4310/jdg/1456754017