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alvarezpaiva
  • Member for 10 years, 10 months
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43 votes

The rank of a symmetric space

43 votes
Accepted

The "ds" which appears in an integral with respect to arclength is not a 1-form. What is it?

41 votes

Total spaces of $TS^2$ and $S^2 \times R^2$ not homeomorphic

36 votes

Liouville's theorem with your bare hands

31 votes

How does one justify funding for mathematics research?

30 votes

Why do I need densities in order to integrate on a non-orientable manifold?

30 votes

Open questions in Riemannian geometry

29 votes
Accepted

Can one recover a metric from geodesics?

16 votes

space of geodesics

12 votes

unique continuation principle

12 votes

Interesting conjectures "discovered" by computers and proved by humans?

12 votes
Accepted

Intuition for Levi-Civita connection via Hamiltonian flows

12 votes
Accepted

Does every manifold admit a Lagrangian Riemannian metric?

11 votes
Accepted

Totally geodesic submanifold of codimension 1

11 votes

H-principle and PDE's

10 votes
Accepted

Length spectrum of spheres

10 votes
Accepted

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

10 votes
Accepted

is the geodesic flow on Hyperbolic Plane completely integrable?

10 votes

How often do people read the work that they cite?

10 votes

Which differential equations allow for a variational formulation?

10 votes

New grand projects in contemporary math

10 votes
Accepted

Reeb flows on $S^3$ versus volume preserving flows

10 votes
Accepted

Volume form induced by a Finsler metric

9 votes
Accepted

Is the Lie quadric $Q^3$ isomorphic to the Lagrangian Grassmannian $\operatorname{LG}(2,4)$?

9 votes
Accepted

A non integrable distribution which is totally geodesic

9 votes

Research trends in geometry of numbers?

9 votes
Accepted

In the classical construction of conic sections, where does the axis of the cone intersect the plane?

9 votes

Is there a coordinate-free proof of the hamiltonian character of the geodesic flow?

8 votes

Explaining the concept of projective space: notes for students

8 votes

Good book on Calculus of Variations