Vitali Kapovitch's user avatar
Vitali Kapovitch's user avatar
Vitali Kapovitch's user avatar
Vitali Kapovitch
  • Member for 12 years, 6 months
  • Last seen more than a month ago
47 votes

Example of a manifold which is not a homogeneous space of any Lie group

35 votes
Accepted

Is $\mathbb{CP}^3$ minus two points the universal cover of a compact manifold?

25 votes
Accepted

Does the following condition imply the homotopy type of a wedge of spheres?

22 votes

Proving the existence of good covers

20 votes
Accepted

A symmetric embedding of manifolds

19 votes
Accepted

What's the Lipschitz constant of the exponential map for $\mathrm{SO}(n,R)$?

17 votes

To which extent can one recover a manifold from its group of homeomorphisms

16 votes
Accepted

Consequences of Gromov's Conjecture

16 votes
Accepted

Behavior of sectional curvature under metric deformations

16 votes

3rd homotopy group of a compact Simple Lie Group

14 votes
Accepted

Metric deformations from non-negative to positive curvature

13 votes

nontrivial $\pi_2(\textrm{Diff}(M))$

13 votes

Smooth representatives for elements of $\pi_7(\text{exotic $S^7$})$

13 votes

Free $\mathbb{Z}_2$-actions match at some point

12 votes

degenerating surface

12 votes

Manifold with all geodesics of Morse index zero but no negatively curved metric?

12 votes
Accepted

Geodesic circles on riemannian manifolds

12 votes

When is there a submersion from a sphere into a sphere?

11 votes

Are Hölder manifolds a thing?

11 votes
Accepted

Smoothability of compact Alexandrov surfaces with curvature bounded from below

11 votes

A non-formal space with vanishing Massey products?

11 votes
Accepted

Riemann surfaces with bounded curvature

11 votes
Accepted

uniformization theorem via ricci flows

11 votes
Accepted

Relation between Ricci curvature and sectional curvature for 3-manifolds

10 votes
Accepted

Free group actions on complex projective spaces

10 votes
Accepted

Dimension of certain subgroup of isometry group of positively curved manifold

10 votes
Accepted

Conformally-flat

10 votes
Accepted

A followup on non-homogeneous spaces.

10 votes

Cohomology ring of mapping torus

9 votes
Accepted

Is the bundle map of the Eguchi-Hanson metric a Riemannian submersion?