2 problems

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Morphism-curvature conjecture for nondegenerate 2-plane fields
Let a nondegenerate $2$ -plane field be equipped with its associated morphism curvature and with the curvature of its $G_2/P_2$ -geometry. Morphism-curvature conjecture. The morphism…
Conjectureopencartan-geometries differential-geometry g2-geometriesarXiv posted 2 days ago
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Tameness conjecture for the rolling-surface $G_2/P_2$ -geometry
Let $S$ and $S'$ be Riemannian surfaces whose Gauss curvatures differ at every pair of points, and let $M$ be the space of linear isometries between tangent planes of $S$ and $S'$ .…
Conjectureopencartan-geometries g2-geometries zoll-surfacesarXiv posted 2 days ago

Morphism-curvature conjecture for nondegenerate 2-plane fields