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Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
4
votes
0
answers
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Is the rectifiability of currents independent of the choice of Riemannian metric?
I apologize if this is a trivial question – GMT is not my area of expertise but I'm working my way through a proof that makes extensive use of GMT and I haven't been able to find an answer to my quest …
2
votes
1
answer
211
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Generalization of approximate tangent spaces to subsets of arbitrary manifolds?
I'm anything but an expert in Geometric Measure Theory, so please forgive me if I'm asking a trivial question.
Let $(M^n, g)$ be a smooth Riemannian manifold, $d \in \mathbb{N}$ and $A ⊂ M$ be a subs …