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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]

10 votes
1 answer
2k views

Does the length spectrum determine the volume?

8 votes
1 answer
2k views

A spectral inequality for positive-definite matrices

16 votes
0 answers
2k views

An open problem in convex geometry

18 votes
2 answers
1k views

An equivalence relation for norms

10 votes
1 answer
1k views

On bi-invariant metrics on groups

19 votes
2 answers
1k views

The symplectic geometry of cold coconuts

14 votes
1 answer
1k views

Spectrum of Laplacian in non-compact manifolds

5 votes
2 answers
1k views

Volume-preserving projective transformations are isometries

6 votes
1 answer
1k views

Geometry of the complex quadric

24 votes
4 answers
1k views

Immersions of the hyperbolic plane

23 votes
1 answer
988 views

Time averages and differentiability

10 votes
2 answers
957 views

Configuration spaces and non homeomorphic vector bundles

9 votes
1 answer
938 views

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

14 votes
2 answers
864 views

Lattice points and convex bodies

13 votes
2 answers
861 views

A problem on convex geometry

12 votes
2 answers
836 views

For what metrics are circles solutions of the isoperimetric problem?

8 votes
1 answer
827 views

Formula for the Haar measure in the linear symplectic group

8 votes
0 answers
814 views

Geometry of the metric cone

6 votes
1 answer
813 views

Shortest geodesic loop vs. shortest periodic geodesic

7 votes
2 answers
744 views

Riemannian distance functions on the real line

12 votes
2 answers
728 views

Geometric applications of Ekeland's variational principle

9 votes
1 answer
717 views

Simple-looking problem with integrals

7 votes
1 answer
699 views

A question on the Mahler conjecture

9 votes
2 answers
678 views

Ellipsoids and lattices: an enclosure problem.

4 votes
1 answer
573 views

A question on null sequences

8 votes
2 answers
562 views

Easy proof of topological property of Zoll manifolds

9 votes
1 answer
561 views

Length spectrum for Riemannian metrics in the projective plane

7 votes
1 answer
546 views

Injectivity of a class of integral operators

10 votes
0 answers
532 views

Poincaré recurrence and symplectic packings