Geodesic
Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 61-64

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We consider $C^1$-functions defined on two-step Carnot groups with a sub-Lorentzian structure defined by one horizontal direction with a negative squared length along it, and prove a nonholonomic coarea formula. A result of interest in itself concerns the correctness of the problem statement, namely, the level sets have to be spacelike.
Keywords: two-step Carnot group, sub-Lorentzian structure, level set, sub-Lorentzian measure, coarea formula. 
@article{DANMA_2020_491_a11,
     author = {M. B. Karmanova},
     title = {Coarea formula for functions on 2-step {Carnot} groups with {sub-Lorentzian} structure},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {61--64},
     publisher = {mathdoc},
     volume = {491},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_491_a11/}
}
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M. B. Karmanova. Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 61-64. http://geodesic.mathdoc.fr/item/DANMA_2020_491_a11/