The Area of Images of Classes of Measurable Sets on Carnot Groups with Sub-Lorentzian Structure
摘要
For the intrinsically Lipschitz mappings defined onclasses of measurable subsets of Carnot groups of arbitrary depth andacting to Carnot groups with sub-Lorentzian structure,we obtain a sub-Lorentzian analog of the area formulaand in particular introduce a suitable definition of Hausdorff measurefor the images of measurable setsincorporating the details of their structure.