Mohammad Ghomi's user avatar
Mohammad Ghomi's user avatar
Mohammad Ghomi's user avatar
Mohammad Ghomi
  • Member for 9 years
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80 votes
1 answer
3k views

Converse to Euclid's fifth postulate

28 votes
2 answers
2k views

Contractibility of the space of Jordan curves

37 votes
0 answers
1k views

Converse of the Archimedean property of the sphere

22 votes
3 answers
978 views

Equilaterally triangulated surfaces with prescribed boundary

11 votes
1 answer
864 views

Equivariant sections of fiber bundles

13 votes
2 answers
836 views

Intrinsic vs Extrinsic geometry of convex surfaces

23 votes
1 answer
647 views

Covering the unit sphere in $\mathbf{R}^n$ with $2n$ congruent disks

7 votes
3 answers
605 views

A continuous version of Carathéodory's convex hull theorem

6 votes
3 answers
545 views

Smale's theorem for $C^1$ diffeomorphisms of the sphere

8 votes
2 answers
476 views

Continuous point map for spherical domains

6 votes
2 answers
363 views

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

9 votes
1 answer
353 views

Perturbing metrics with nonpositive curvature

5 votes
1 answer
319 views

Manifolds with nonpositive radial curvature

7 votes
2 answers
313 views

Cone unfolding of space curves

5 votes
2 answers
290 views

Convex caps with prescribed edges

12 votes
1 answer
277 views

Rigidity of doubled convex caps

10 votes
0 answers
253 views

Plank invariant measures on convex bodies

6 votes
1 answer
246 views

Triangulations of convex surfaces

1 vote
2 answers
192 views

A triangle comparison in CAT(0) spaces

4 votes
1 answer
181 views

Approximate isometric embeddings of surfaces

4 votes
1 answer
165 views

Convex hull of 3 points in Cartan-Hadamard manifolds

1 vote
0 answers
121 views

What is an umbilic point of a convex polyhedron?

4 votes
1 answer
121 views

Convex caps with prescribed edges and curvature

1 vote
0 answers
101 views

Planar sections of convex sets in Cartan-Hadamard manifolds