4 problems

For $d\geq 2$, let $\mathcal U_{d;\leq n}$ be the domain of the moving frame and let … be the moving frame defined in the preceding section. Almost-polynomial moving-frame conjectu…

Let $M$ and $M^\ast$ be submanifolds of a matrix group modelled Euclidean space $E$, and let $F_s$ and $F_s^\ast$ be their $s$-th order moving frames. A geometric transformation of…

Hélein's conjecture. The threshold $8\pi/3$ can be replaced by $8\pi$, and $8\pi$ is optimal. This concerns the sharp energy threshold for lifting Grassmannian-valued maps to contr…

The paper studies immersed curves in Cartan geometries, using Cartan's method of moving frames to construct differential invariants and solve equivalence problems. Cartan-geometry…