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Results tagged with geometric-measure-theory
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user 85934
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
6
votes
0
answers
231
views
Minimizing area in relative homology class
A well known result in geometric measure theory asserts that if $(M^{n+1}, g)$ is a closed Riemannian manifold and $\alpha \in H_n(M)$ is a nonzero homology class, then there exists a closed embedded …
- 2,095
3
votes
1
answer
96
views
Behaviour of mass for currents with disjoint supports
I am sorry if this is a basic question, but I don't think in MSE I will receive any answers.
Let $(M^3,g)$ be a compact and oriented Riemannian $3$-manifold. Let $\alpha$ and $\beta$ be the integral c …
- 2,095