# Questions tagged [minimal-surfaces]

Question on minimal surfaces, or surfaces that have zero mean curvature.

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### Using integration by parts to show $\int_{\Sigma} |\nabla^N_{\Sigma} X|^2 = - \int_{\Sigma} \langle X, \Delta^N_{\Sigma} X \rangle$

I'm trying to work through a derivation of the stability operator from minimal surface theory. Suppose $\Sigma^k$ is a minimal submanifold of $\mathbb{R}^n$, and suppose $X$ is a normal vector field ...
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### Scherk minimal surface

I want to show that the Scherk surface is minimal. I found some results in witch the coefficients of the first and second fundamental form are calculated directly.I tried to calculate and I don't get ...
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1 vote
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### Almgren and Taylor's movie about soap bubbles

As I know, in 1970's two well-known geometric analysts, Fred Almgren and Jean Taylor, along with mathematician Michele Emmer, produced a film about minimal surfaces entitled "Soap Bubbles". ...
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### Minimal immersion of projective plane in sphere

Problem is to build minimal immersion of $RP^2$ with canonical metric of curvature $K=1$ in $S^n$ of some radius, using first eingefunctions. From Takahashi theorem it is clear that radius of sphere ...
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1 vote
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### Liouville's equation is equivalent to the Gauss–Codazzi equations for minimal immersions into the 3-space

I was going through this wiki page Link on the Liouville's equation. In that page there is this comment without any source 'Liouville's equation is equivalent to the Gauss–Codazzi equations for ...
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