We prove the area formula for Lipschitz maps between stratified nilpotent Lie groups. The main tool is the a.e. differentiablity of Lipschitz maps, proved by Pierre Pansu in 1989. We extend this result to the case of measurable domains with non trivial technical modifications. A suitable notion of jacobian is given for differential maps, called G-linear maps, finding relations with the classical definition of jacobian.
Differentiability and area formula on stratified groups
MAGNANI, VALENTINO
2001-01-01
Abstract
We prove the area formula for Lipschitz maps between stratified nilpotent Lie groups. The main tool is the a.e. differentiablity of Lipschitz maps, proved by Pierre Pansu in 1989. We extend this result to the case of measurable domains with non trivial technical modifications. A suitable notion of jacobian is given for differential maps, called G-linear maps, finding relations with the classical definition of jacobian.File in questo prodotto:
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