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For questions about minimal surfaces in the sense of Riemannian geometry (as opposed to complex geometry).
2
votes
How to interpret this quote of Lin?
This is not a full answer, since I do not know the counterexample Lin refers to, but I can offer some explanations and guesses which are too long for a comment:
You can define a first variation for cu …
2
votes
Flat norm of currents and minimal surfaces
Leo Moos gave a very good answer, but here is another way to think about this:
Essentially equality does not hold when it is cheaper to have a the boundary of a hole than filling that hole. So if $S$ …
1
vote
When is a $1$-varifold $V$ the associated varifold of the reduced boundary of some Caccioppo...
I think the obvious way is indeed the only way. First of all $n_j=1$ for all $j$, as boundaries do not have higher multiplicity.
Secondly, the $l$ rays of your varifold split $\mathbb{R}^2$ into $l$ s …