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math.DG2008
Measure of submanifolds in the Engel group
Enrico Le Donne, Valentino Magnani
We find all intrinsic measures of smooth submanifolds in the Engel group, showing that they are equivalent to the corresponding -dimensional spherical Hausdorff measur…
math.DG2008
Blow-up estimates at horizontal points and applications
Valentino Magnani
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, th…
math.DG2007★ 9 cited
Towards Differential Calculus in stratified groups
Valentino Magnani
In this paper we establish the basic tools to develop the "Calculus" associated with group-valued continuously Pansu differentiable mappings. We develop the technical machinery on…