Geometry
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-4038 Scalar Curvature Question [?64]: Are all extremal convex polyhedraP are mean convexly extremal
- Math-4039 Scalar Curvature Question [?66]: Probably, these equalities imply thatP is isometric to a Euclidean rectangular solidbut the approximation/smoo
- Math-4040 Scalar Curvature Question [?68]: Let $\widetilde X$ be the universal cover of a Riemannian $n$-manifold $X$ homeomorphic to the $n$-torus
- Math-4041 Can you hear an orbifold singularity?
- Math-4042 Biorthogonal curvature
- Math-4043 Configuration Spaces of Tensegrities — Problem 1
- Math-4044 Configuration Spaces of Tensegrities — Problem 9
- Math-4045 Geometry of Curves and Surfaces — Problem 3.1
- Math-4046 Geometry of Curves and Surfaces — Problem 3.3
- Math-4047 Geometry of Curves and Surfaces — Problem 5.1
- Math-4048 Geometry of Curves and Surfaces — Problem 8.2
- Math-4052 The covering problem of Rado
- Math-4053 The Erdős–Oler conjecture
- Math-4054 Reinhardt's conjecture
- Math-4055 Square packing in a square
- Math-4056 The Kobon triangle problem on triangles in line arrangements
- Math-4057 The Kusner conjecture
- Math-4058 Opaque forest problem on finding opaque sets for various planar shapes
- Math-4059 Tripod packing
- Math-4060 The Atiyah conjecture on configurations on the invertibility of a certain $n$-by-$n$ matrix depending on $n$ points in $\mathbb{R}^{3}$
- Math-4061 The values of the Hermite constants for dimensions other than 1–8 and 24
- Math-4062 Lebesgue's universal covering problem on the minimum-area convex shape in the plane that can cover any shape of diameter one
- Math-4063 Moser's worm problem
- Math-4064 Is the upper bound of a closed knot's minimum ropelength linear to its crossing number
- Math-4163 Rational distances from the vertices of a square
- Math-4261 Explicit bound for symmetric point configurations on the sphere
- Math-4275 Local metric homogeneity forcing periodic triangulations
- Math-4276 Nerve graphs of Euclidean sphere packings
- Math-4277 Accumulation points of packings of $\mathbb{Z}^3$