Horizontal points of smooth submanifolds in stratified groups play the role of singular points with respect to the Carnot-Carathe'odory distance. When we consider hypersurfaces, they coincide with the well known characteristic points. In two step groups, we obtain pointwise estimates for the Riemannian surface measure …
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2 results for “Carnot-Carathéodory”
New proof of isoperimetric inequality using integration by parts.
problem Classical isoperimetric inequality in the plane
method Integration by parts and Stoke's formula
result Proof works like a calibration or null Lagrangians theory