3
votes

Accepted

### 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 ...

3
votes

Accepted

### 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 ...

2
votes

Accepted

### 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\...

Only top scored, non community-wiki answers of a minimum length are eligible

#### Related Tags

dg.differential-geometry × 8315riemannian-geometry × 1805

ag.algebraic-geometry × 844

complex-geometry × 829

reference-request × 753

differential-topology × 700

at.algebraic-topology × 600

mg.metric-geometry × 572

lie-groups × 526

gt.geometric-topology × 487

smooth-manifolds × 477

ap.analysis-of-pdes × 471

sg.symplectic-geometry × 398

fa.functional-analysis × 292

vector-bundles × 272

mp.mathematical-physics × 270

kahler-manifolds × 250

lie-algebras × 206

differential-equations × 201

ds.dynamical-systems × 194

curvature × 185

connections × 182

cv.complex-variables × 180

differential-operators × 157

real-analysis × 142