Measure of curves in graded groups

2010/09/27 by Riikka Korte, Korte, Riikka, Valentino Magnani +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1009.5304

arxiv created 2010/09/27 · arxiv updated 2010/09/28

Abstract

We establish an area-type formula for the intrinsic spherical Hausdorff measure of every regular curve embedded in an arbitrary graded group.

Related

• Area of intrinsic graphs in homogeneous groups
• Symmetry results for the area formula in homogeneous groups
• Towards a theory of area in homogeneous groups
• A new differentiation, shape of the unit ball and perimeter measure
• Area formula for regular submanifolds of low codimension in Heisenberg groups