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arxiv: 0808.3660 · v2 · pith:5PIFHD6Qnew · submitted 2008-08-27 · 🧮 math.DG

A Sobolev Poincar\'e type inequality for integral varifolds

classification 🧮 math.DG
keywords boundsinequalityintegralcurvaturedistanceexponentsheightinvolved
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In this work a local inequality is provided which bounds the distance of an integral varifold from a multivalued plane (height) by its tilt and mean curvature. The bounds obtained for the exponents of the Lebesgue spaces involved are shown to be sharp.

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