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Results tagged with minimal-surfaces
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user 109533
For questions about minimal surfaces in the sense of Riemannian geometry (as opposed to complex geometry).
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,
$$\int_T \varphi = \int_M …
- 708
3
votes
Accepted
Is every area-minimizing cone a level set of a least-gradient function?
Yes. Let $L := \mathbf C \cap \partial B_1$ be the link of $\mathbf C$. Since $\mathbf C$ meets $\partial B_1$ transversely and is smooth near $\partial B_1$, $L$ can be viewed as a closed submanifold …
- 708
0
votes
Accepted
Harnack inequality for the minimal surface equation
The minimal surface equation is uniformly elliptic, at least in the sense that its linearization at any solution is uniformly elliptic. It will be convenient to rewrite the equation as
$$\nabla \cdot …
- 708