User Mohammad Ghomi

4 votes

Is there a definition for "convexity" of spatial (non-planar) polygons?

answered Oct 9, 2019 at 14:47

4 votes

Is Gauss map of a free boundary convex disk a diffeomorphism?

answered Nov 1, 2020 at 23:37

3 votes

$C^0$-approximation by smooth curves with prescribed curvature

answered Oct 9, 2019 at 21:09

3 votes

Convexity of distance-to-boundary function

answered Jun 9, 2019 at 14:00

3 votes

What are the central points of a semi-nice region in the plane?

answered Jul 13, 2017 at 3:36

3 votes

Does every convex polyhedron have a combinatorially isomorphic counterpart whose faces all have rational areas?

answered Oct 7, 2017 at 20:34

3 votes

Uniformisation for non simple closed curves

answered Oct 10, 2017 at 2:51

3 votes

Accepted

Convex hull of 3 points in Cartan-Hadamard manifolds

answered Nov 24, 2023 at 13:13

3 votes

A triangle comparison in CAT(0) spaces

answered Jan 31 at 17:04

3 votes

Converse of Scherk–Segre theorem on the number of vertices of a convex space curve

answered Dec 14 at 13:57

3 votes

Unlinked interlocking planar polygons

answered Jan 22, 2022 at 23:31

3 votes

Shortest closed curve to inspect a sphere

answered Sep 9, 2022 at 21:29

3 votes

Accepted

Rigidity for convex surfaces in elliptic/hyperbolic space

answered Jun 21, 2023 at 13:10

2 votes

Approximating a compact $C^1$ hypersurface without boundary

answered Jan 18, 2018 at 13:22

2 votes

Rolling wheel unicycle knots

answered Apr 2, 2021 at 14:42

1 vote

Minimal graph over convex domain is area-minimizing

answered Nov 27, 2019 at 21:12

1 vote

Continuous point map for spherical domains

answered Aug 8, 2023 at 12:56

1 vote

Convex surfaces with minimal total curvature in Cartan-Hadamard 3-space

answered Aug 24, 2023 at 17:14

1 vote

Accepted

A continuous version of Carathéodory's convex hull theorem

answered Mar 1 at 12:54

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49 Answers

Is there a definition for "convexity" of spatial (non-planar) polygons?

Is Gauss map of a free boundary convex disk a diffeomorphism?

$C^0$-approximation by smooth curves with prescribed curvature

Convexity of distance-to-boundary function

What are the central points of a semi-nice region in the plane?

Does every convex polyhedron have a combinatorially isomorphic counterpart whose faces all have rational areas?

Uniformisation for non simple closed curves

Convex hull of 3 points in Cartan-Hadamard manifolds

A triangle comparison in CAT(0) spaces

Converse of Scherk–Segre theorem on the number of vertices of a convex space curve

Unlinked interlocking planar polygons

Shortest closed curve to inspect a sphere

Rigidity for convex surfaces in elliptic/hyperbolic space

Approximating a compact $C^1$ hypersurface without boundary

Rolling wheel unicycle knots

Minimal graph over convex domain is area-minimizing

Continuous point map for spherical domains

Convex surfaces with minimal total curvature in Cartan-Hadamard 3-space

A continuous version of Carathéodory's convex hull theorem