Metric Properties of Graphs on Carnot–Carathéodory Spaces with Sub-Lorentzian Structure

M. B. Karmanova

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)36-39
Number of pages4
JournalDoklady Mathematics
Volume101
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020

Keywords

  • area formula
  • Carnot–Carathéodory space
  • intrinsic sub-Lorentzian measure
  • polynomial hc-differential
  • AREA
  • HOLDER SURFACES
  • DIFFERENTIABILITY
  • Carnot-Caratheodory space
  • MAPPINGS
  • GEOMETRY

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