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Results tagged with geometric-measure-theory
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user 90154
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
5
votes
1
answer
331
views
Second fundamental form blows up at minimal hypersurface singularity
I have seen the claim that "$A$ bounded on an area minimizing current implies no singular set" in a couple of papers by Lohkamp, but with no reference (see https://arxiv.org/abs/1805.02180 e.g.).
Pr …
- 738
2
votes
1
answer
313
views
Is the $L^p$ space of tensors complete?
On a Riemannian manifold $(M,g)$, let $\mathcal L^p(M,k)$ denote the space of measurable $k$-tensors $T$ (i.e., the coordinate components in any chart are Lebesgue measurable) for which the norm
$$|| …
- 738