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What is ... a varifold?. (arXiv:1705.05253v2 [math.DG] UPDATED)
来源于:arXiv
This note surveys -- by means of 25 examples -- the concept of varifold, as
generalised submanifold, with emphasis on integral varifolds with mean
curvature, while keeping prerequisites to a minimum. Integral varifolds are the
natural language for studying the variational theory of the area integrand if
one considers, for instance, existence or regularity of stationary (or, stable)
surfaces of dimension at least three, or the limiting behaviour of sequences of
smooth submanifolds under area and mean curvature bounds. 查看全文>>