Inserted: 9 jan 2002
Last Updated: 29 nov 2003
Journal: Mathematica Bohemica
We study finite perimeter sets in step 2 Carnot groups. This way we extend the classical De Giorgi's theory, developped in Euclidean spaces, as well as its generalization, considered by the authors, in Heisenberg groups. A structure theorem for sets of finite perimeter is obtained and consequently a divergence theorem. Full proofs of these results, comments and an exhaustive bibliography will be found in a subsequent paper.
Keywords: Carnot groups, Rectifiability, Finite perimeter sets, Divergence theorem