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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

2 votes
Accepted

Are smooth surfaces embedded in R3 , with finite area, always the boundary of a finite perim...

Your question is worded a bit confusingly, in particular I can't tell if you want compactness or not. If you don't want compactness, it's not entirely clear what you mean by "bounding": take the unit …
Aidan Backus's user avatar
5 votes

Mass minimizing current in real homology class

Since $T$ is a closed current, it has a local primitive $u$, which is a function such that for any smooth $n - 1$-form $\varphi$ with support on the set where $u$ is defined, $$\int_T \varphi = \int_M …
Aidan Backus's user avatar