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alvarezpaiva
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53 votes
30 answers
8k views

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

24 votes
4 answers
967 views

Immersions of the hyperbolic plane

23 votes
1 answer
980 views

Time averages and differentiability

19 votes
2 answers
1k views

The symplectic geometry of cold coconuts

18 votes
1 answer
477 views

Asymmetric metrics and cohomology

18 votes
2 answers
1k views

An equivalence relation for norms

15 votes
0 answers
2k views

An open problem in convex geometry

14 votes
2 answers
822 views

Lattice points and convex bodies

13 votes
1 answer
415 views

Choquet theory and Hilbert's fourth problem

13 votes
1 answer
1k views

Spectrum of Laplacian in non-compact manifolds

13 votes
2 answers
794 views

A problem on convex geometry

12 votes
2 answers
685 views

Geometric applications of Ekeland's variational principle

12 votes
0 answers
464 views

Unit ball of smallest volume in a Hilbert geometry

11 votes
2 answers
811 views

For what metrics are circles solutions of the isoperimetric problem?

10 votes
2 answers
894 views

Configuration spaces and non homeomorphic vector bundles

10 votes
1 answer
2k views

Does the length spectrum determine the volume?

10 votes
0 answers
515 views

Poincaré recurrence and symplectic packings

10 votes
1 answer
444 views

Monotonicity of Loewner ellipsoid?

10 votes
1 answer
1k views

On bi-invariant metrics on groups

10 votes
1 answer
370 views

Parallel transport on Riemannian symmetric spaces

10 votes
0 answers
186 views

Metrization of projective manifolds

9 votes
1 answer
290 views

k-flats in homogeneous spaces

9 votes
1 answer
693 views

Simple-looking problem with integrals

9 votes
0 answers
307 views

An affine invariant of convex bodies

9 votes
2 answers
355 views

Transitive geodesics on closed surfaces of genus greater than one

9 votes
1 answer
548 views

Length spectrum for Riemannian metrics in the projective plane

9 votes
2 answers
653 views

Ellipsoids and lattices: an enclosure problem.

9 votes
1 answer
916 views

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

8 votes
1 answer
386 views

From convex geometry to contact topology

8 votes
1 answer
336 views

Convex bodies with symmetric shadows