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Results tagged with geometric-measure-theory
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user 129565
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
3
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answer
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views
How to check that the surface measure is the weak limit of $\delta^{-1}\mathcal{L}^n|_{B(0,1...
We denote the unit sphere $\{x\in\mathbb{R}^n:|x|=1\}$ by $S^{n-1}.$ If $x\in\mathbb{R}^n\setminus\{0\}$, the polar coordinates of $x$ are
\begin{align*}
r=|x|\in(0,\infty),\quad \gamma=\dfrac x{| …
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