3 votes

Teichmuller interpretation of unbounded holomorphic quadratic differentials

These can be seen as global or infinitesimal deformations of harmonic maps $\mathbb{C} \to \mathbb{H}$ with ideal polygonal image. In particular, Han-Tam-Treibergs-Wan show that a harmonic injective ...
Alex Nolte's user avatar
3 votes

Singularities of mean-convex MCF in the sphere?

For topological reasons you can see that any minimal surface $\Sigma\subset \mathbb{S}^3$ that is not a sphere or a torus has to give rise to a mean convex flow that becomes singular before it ...
RBega2's user avatar
  • 2,318
2 votes

Is this limit a tangent vector?

I am not sure this question is appropriate for this site but here is a proof. By translation, we can suppose p=0. By rotation, we can suppose $\mathbb{R}^d=\mathbb{R}^{n+m}$ and $\mathbb{R}^n\times\{0\...
omar's user avatar
  • 278

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