Geodesic
Metric properties of graphs on Carnot--Carath\'eodory spaces with sub-Lorentzian structure
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 42-46

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The notion of a sub-Lorentzian structure with multidimensional time on Carnot–Carathéodory spaces is introduced. It is proved that classes of graph surfaces are spacelike, and a sub-Lorentzian analogue of the area formula is proved.
Keywords: Carnot–Carathéodory space, polynomial $hc$-differential, intrinsic sub-Lorentzian measure, area formula. 
@article{DANMA_2020_490_a8,
     author = {M. B. Karmanova},
     title = {Metric properties of graphs on {Carnot--Carath\'eodory} spaces with {sub-Lorentzian} structure},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {42--46},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_490_a8/}
}
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M. B. Karmanova. Metric properties of graphs on Carnot--Carath\'eodory spaces with sub-Lorentzian structure. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 42-46. http://geodesic.mathdoc.fr/item/DANMA_2020_490_a8/