Uniformity of cc-balls on some class of 2-step Carnot groups

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Abstract

For some class of 2-step Carnot groups H α1,...,αn 1 that includes Heizenberg groups we proved that Carnot-Carathéodory balls (cc-balls) of these groups are uniform domains. We studied the geometry of the set of points of H α1,...,αn 1 joined with identity element of H α1,...,αn 1 more than one Carnot-Carathéodory cc- shortest path.

Translated title of the contributionРавномерность cc-шаров на одном классе 2-ступенчатых групп Карно
Original languageEnglish
Pages (from-to)1182-1197
Number of pages16
JournalСибирские электронные математические известия
Volume15
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Carnot-Caratheodory shortest path
  • cc-ball
  • extremal
  • uniform domain
  • Heisenberg groups
  • HEISENBERG-GROUP
  • NTA-DOMAINS
  • EXTENSION
  • METRICS

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27.27 Theory of functions of complex variables

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