Anton Petrunin's user avatar
Anton Petrunin's user avatar
Anton Petrunin's user avatar
Anton Petrunin
  • Member for 14 years, 5 months
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3 votes
Accepted

Does a Riemannian submersion map horizontal geodesics to geodesics, and a relevant question?

3 votes

A continuous version of Carathéodory's convex hull theorem

1 vote
Accepted

Connectedness of fibers of almost Riemannian submersions

1 vote

Dimension of Alexandrov space which is homeomorphic to a manifold

2 votes

"Almost geodesics" in Riemannian manifolds which cannot be loops

0 votes

Parallel Jacobi fields in a Hadamard manifold

1 vote

Conic neighborhoods ⇔ polyhedral

3 votes
Accepted

A triangle comparison in CAT(0) spaces

3 votes
Accepted

Characterization of convexity by connectedness of hyperplane sections

4 votes
Accepted

Osculating sphere at point of maximal curvature lies to one side

1 vote

Covering number estimates on closed Riemannian manifolds

1 vote
Accepted

Totally geodesic submanifold of codimension 1 in noncompact Riemannian manifold

0 votes

Continuity of minimizers to distance function from point to convex set

0 votes

Cusp points in Alexandrov spaces

2 votes

How to correctly state Cauchy's rigidity theorem?

3 votes

Does the Alexandrov angle define convex functions along geodesics in CAT(0) spaces?

2 votes
Accepted

Is a bounded convex function $g$ that is non-negative on this particular convex set also non-negative on the its closure?

1 vote

Area on the unit sphere swept out by big circles corresponding to a curve

3 votes

Monotonicity of perimeter of convex subsets of hyperbolic plane

4 votes
Accepted

How to estimate the distance between geodesics and points for Riemannian manifold with positive sectional curvature

0 votes

Geometry in $\mathbb{R}^n$: angle between projections of a rectangle

0 votes

On intersection of null geodesics

0 votes

Elementary+Short+Useful

1 vote

Solutions to $\Delta u\ge u^2$

1 vote
Accepted

Infimum value of a function in the boundary of a geodesic ball

2 votes
Accepted

Lower estimate on sectional curvature of the boundary

1 vote

Question on G. Perelman's paper "Elements of Morse theory on Aleksandrov spaces"

2 votes

Source for: Geodesics in CAT(0) spaces

2 votes
Accepted

Topological spaces admitting CAT(1) metrics

1 vote

What is the limit of a helix as the frequency tends to infinity?

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