We find all the intrinsic measures for smooth submanifolds in the Engel group whose tangent space has Lipschitz regularity, showing that they are equivalent to the corresponding d-dimensional spherical Hausdorff measure restricted to the submanifold. The integer d is the degree of the submanifold. These results follow from a different approach to negligibility, based on a blow-up technique.
Measure of submanifolds in the Engel group
LE DONNE, ENRICO;MAGNANI, VALENTINO
2010-01-01
Abstract
We find all the intrinsic measures for smooth submanifolds in the Engel group whose tangent space has Lipschitz regularity, showing that they are equivalent to the corresponding d-dimensional spherical Hausdorff measure restricted to the submanifold. The integer d is the degree of the submanifold. These results follow from a different approach to negligibility, based on a blow-up technique.File in questo prodotto:
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