User alvarezpaiva

53 votes

30 answers

8k views

Fundamental problems whose solution seems completely out of reach [closed]

asked Jun 30, 2012 at 18:48

24 votes

4 answers

967 views

Immersions of the hyperbolic plane

asked Aug 17, 2018 at 18:40

23 votes

1 answer

980 views

Time averages and differentiability

asked Jun 29, 2015 at 13:01

19 votes

2 answers

1k views

The symplectic geometry of cold coconuts

asked Oct 5, 2013 at 11:16

18 votes

1 answer

477 views

Asymmetric metrics and cohomology

asked Mar 15, 2014 at 6:34

18 votes

2 answers

1k views

An equivalence relation for norms

asked Apr 3, 2014 at 16:12

15 votes

0 answers

2k views

An open problem in convex geometry

asked Jan 7, 2014 at 11:15

14 votes

2 answers

822 views

Lattice points and convex bodies

asked Nov 20, 2013 at 12:38

13 votes

1 answer

415 views

Choquet theory and Hilbert's fourth problem

asked Nov 29, 2013 at 15:14

13 votes

1 answer

1k views

Spectrum of Laplacian in non-compact manifolds

asked Dec 5, 2013 at 19:13

13 votes

2 answers

794 views

A problem on convex geometry

asked Dec 12, 2012 at 20:53

12 votes

2 answers

685 views

Geometric applications of Ekeland's variational principle

asked Jun 6, 2012 at 19:29

12 votes

0 answers

464 views

Unit ball of smallest volume in a Hilbert geometry

asked Feb 18, 2014 at 11:38

11 votes

2 answers

811 views

For what metrics are circles solutions of the isoperimetric problem?

asked Jun 26, 2012 at 9:07

10 votes

2 answers

894 views

Configuration spaces and non homeomorphic vector bundles

asked Mar 27, 2012 at 19:49

10 votes

1 answer

2k views

Does the length spectrum determine the volume?

asked Mar 1, 2012 at 11:09

10 votes

0 answers

515 views

Poincaré recurrence and symplectic packings

asked Oct 4, 2013 at 4:52

10 votes

1 answer

444 views

Monotonicity of Loewner ellipsoid?

asked Apr 10, 2013 at 16:56

10 votes

1 answer

1k views

On bi-invariant metrics on groups

asked May 5, 2014 at 9:37

10 votes

1 answer

370 views

Parallel transport on Riemannian symmetric spaces

asked Mar 28, 2017 at 11:27

10 votes

0 answers

186 views

Metrization of projective manifolds

asked Jun 14, 2021 at 11:56

9 votes

1 answer

290 views

k-flats in homogeneous spaces

asked Jul 18, 2016 at 21:42

9 votes

1 answer

693 views

Simple-looking problem with integrals

asked May 3, 2021 at 17:07

9 votes

0 answers

307 views

An affine invariant of convex bodies

asked Mar 18, 2014 at 16:14

9 votes

2 answers

355 views

Transitive geodesics on closed surfaces of genus greater than one

asked Aug 6, 2013 at 8:55

9 votes

1 answer

548 views

Length spectrum for Riemannian metrics in the projective plane

asked Mar 8, 2012 at 17:49

9 votes

2 answers

653 views

Ellipsoids and lattices: an enclosure problem.

asked Feb 8, 2012 at 20:12

9 votes

1 answer

916 views

Reference request: Ehrhart's conjecture on the geometry of numbers

asked Feb 10, 2012 at 22:24

8 votes

1 answer

386 views

From convex geometry to contact topology

asked Dec 14, 2012 at 9:54

8 votes

1 answer

336 views

Convex bodies with symmetric shadows

asked Jan 22, 2013 at 14:13

Stack Exchange Network

75 Questions

Fundamental problems whose solution seems completely out of reach [closed]

Immersions of the hyperbolic plane

Time averages and differentiability

The symplectic geometry of cold coconuts

Asymmetric metrics and cohomology

An equivalence relation for norms

An open problem in convex geometry

Lattice points and convex bodies

Choquet theory and Hilbert's fourth problem

Spectrum of Laplacian in non-compact manifolds

A problem on convex geometry

Geometric applications of Ekeland's variational principle

Unit ball of smallest volume in a Hilbert geometry

For what metrics are circles solutions of the isoperimetric problem?

Configuration spaces and non homeomorphic vector bundles

Does the length spectrum determine the volume?

Poincaré recurrence and symplectic packings

Monotonicity of Loewner ellipsoid?

On bi-invariant metrics on groups

Parallel transport on Riemannian symmetric spaces

Metrization of projective manifolds

k-flats in homogeneous spaces

Simple-looking problem with integrals

An affine invariant of convex bodies

Transitive geodesics on closed surfaces of genus greater than one

Length spectrum for Riemannian metrics in the projective plane

Ellipsoids and lattices: an enclosure problem.

Reference request: Ehrhart's conjecture on the geometry of numbers

From convex geometry to contact topology

Convex bodies with symmetric shadows