Two-step sub-Lorentzian structures and graph surfaces

Maria B. Karmanova

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We establish an area formula for graph mappings on two-step sub-Lorentzian structures with an arbitrary number of spatial and temporal directions. In a particular case, we consider an alternative approach that requires no additional smoothness of the mapping from which the graph is constructed.

Original languageEnglish
Pages (from-to)52-94
Number of pages43
JournalIzvestiya Mathematics
Volume84
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020

Keywords

  • Area formula
  • Intrinsic basis
  • Intrinsic measure
  • Lipschitz mapping
  • Multi-dimensional sub-Lorentzian structure
  • area formula
  • intrinsic measure
  • SPACES
  • AFFINE CONTROL-SYSTEMS
  • REACHABLE SETS
  • intrinsic basis
  • multi-dimensional sub-Lorentzian structure
  • GEOMETRY

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