2 problems

0 votes0 replies0 views
The conjecture that Carnot–Carathéodory spaces lack any measure contraction property
Measure contraction conjecture. Carnot–Carathéodory spaces do not possess any type of measure contraction property.
Conjectureopencarnot-caratheodory-spaces metric-measure-geometry sub-riemannian-geometryarXiv posted 2 days ago
0 votes0 replies1 view
The rectifiability conjecture for step-2 Carnot–Carathéodory spaces
Rectifiability conjecture. Property $\mathcal R$ holds in every equiregular Carnot–Carathéodory space of step $2$ .
Conjectureopenbounded-variation carnot-caratheodory-spaces geometric-measure-theoryarXiv posted 2 days ago

The conjecture that Carnot–Carathéodory spaces lack any measure contraction property