OpenAI Math·Subject
Differential geometry
29 of the 372 results in OpenAI's maths catalogue are in differential geometry. Each page quotes OpenAI's own summary, links the preprints and embeds the animation once it is released. 3 of them have a video so far.
All 29 results
- 333Smooth isometric immersions of surfaces into ℝ4Lean
- 334A smooth surface metric with no local isometric immersion in ℝ3Lean
- 335Gromov’s integral scalar-curvature bound for simplicial volume
- 336Spectral scalar curvature, Urysohn width, and macroscopic dimension
- 337Sharp Cartan–Hadamard isoperimetry and rigidityLean
- 338Yau's uniformization conjecture
- 339Katok's entropy rigidity conjecture
- 340A counterexample to the nearby Lagrangian conjecture
- 341Donaldson's hypersymplectic deformation conjecture
- 342Donaldson's tamed-to-compatible conjectureLean
- 343Symplectic ball packing in higher dimensionsLean
- 344The metric Blaschke conjecture
- 345Infinitely many closed geodesics on Riemannian spheres and closed three-manifoldsVideo
- 346Sharp singular-set bounds for stationary integral varifolds
- 347Counterexamples to stable-Morse and strong Arnold fixed-point boundsLean
- 348Nonnegative-curvature Einstein classification and an L2 topological gapLean
- 349The Solomon–Yau least-volume conjecture
- 350Yau’s nodal bounds: surfaces and higher dimensionsVideoLean
- 351Scalar curvature and finite-time Ricci-flow singularities
- 352A finite-time singularity of Calabi flow
- 353Affine Bernstein rigidity through dimension nine and a smooth dimension-ten counterexampleLean
- 354The isoperimetric profile of the cubic three-torusVideoLean
- 355Unique tangent flows at the first surface singularity
- 356Gigli’s characterization of Alexandrov curvatureLean
- 357Bi-Lipschitz coordinates at every regular RCD point
- 358A three-manifold without conjugate points or nonpositive curvatureLean
- 359Negative Kähler curvature without bounded holomorphic coordinatesLean
- 360Weak MTW curvature gives convexity and regular optimal transportLean
- 361Failure of integer-degree harmonic dimension comparisonLean
Other subjects
- Theoretical computer science 40
- Combinatorics 37
- Algebraic and complex geometry 36
- Number theory 31
- Probability and statistical mechanics 29
- Mathematical physics 25
- Operator algebras 19
- Algebra 18
- Topology 18
- Partial differential equations 16
- Real and complex analysis 16
- Convex and metric geometry 15
- Group theory 14
- Dynamical systems and ergodic theory 12
- Functional analysis 11
- Mathematical logic 6