Xin Nie's user avatar
Xin Nie's user avatar
Xin Nie's user avatar
Xin Nie
  • Member for 12 years, 7 months
  • Last seen more than a week ago
12 votes
1 answer
1k views

Why Yau's theorem implies the existence of hyperkähler metric on complex symplectic manifolds?

11 votes
1 answer
551 views

Decomposition of $\mathrm{O}(n)$-modules coming from differential geometry

10 votes
1 answer
677 views

A problem concerning $L^2([0,1]\times[0,1])$

10 votes
1 answer
966 views

On a compact manifold, what kind of function can be the Jacobian of a diffeomorphism?

9 votes
1 answer
2k views

Questions on Thurston's earthquake flow

7 votes
1 answer
1k views

The space of valuations of a function field

6 votes
1 answer
464 views

The hyperbolic metric on a flat surface

6 votes
0 answers
159 views

Reference request: normal form of k-differentials and flat surfaces at a puncture

5 votes
0 answers
372 views

"Natural" Poisson structure on $(\mathbb{P}^1)^N$

5 votes
2 answers
2k views

Which linear combinations of simple roots are roots

4 votes
2 answers
2k views

Non-bijective conformal maps between annuli

4 votes
2 answers
475 views

Is the condition ``adjoint action does not have eigenvalue $-1$" dense in a Lie group?

4 votes
2 answers
388 views

Is a local diffeomorphism with nice boundary values a diffeomorphism?

4 votes
0 answers
94 views

Bi-Lipschitz classification of germs of conformal metrics at a singularity

4 votes
1 answer
300 views

Regularity of Aleksandrov solution to Monge-Ampère equation with infinite slope at boundary

3 votes
1 answer
132 views

Infinite-dimensional analogue of "positive-negative splitting implies non-degeneracy"

3 votes
1 answer
175 views

Reference request: maximal Cheeger constant for 3-regular graphs

3 votes
1 answer
357 views

Finding a smooth convex function with prescribed boundary value and small Monge-Ampère measure

3 votes
1 answer
155 views

Reference request: geometric finiteness of Fuchsian groups

3 votes
1 answer
698 views

On the Birkhoff ergodic theorem for geodesic flows

3 votes
0 answers
151 views

On the volume entropy of negatively curved manifolds

3 votes
0 answers
198 views

$\mathbb{CP}^1$-structures and hyperbolic Gauss maps

2 votes
0 answers
363 views

A simple problem on commutative algebra related to G.I.T

2 votes
0 answers
81 views

Smooth dependence of convex functions on Monge-Ampère measure

2 votes
1 answer
245 views

Reference request: flat surfaces

2 votes
0 answers
93 views

Complex structure and antipode map on the space of measured geodesic laminations

1 vote
1 answer
304 views

Boundary regularity for the Monge-Ampère equation $\det D^2u=1$

1 vote
0 answers
92 views

Homeomorphism between interiors of simplex and permutohedron

1 vote
2 answers
557 views

Configuration space of flags

1 vote
2 answers
873 views

Connections on the Hodge bundle?