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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
196 views

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 …
Weekkola's user avatar
2 votes
1 answer
211 views

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 …
Weekkola's user avatar