Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups

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Abstract

We get a new proof that hyperspace (x, y, t) j t > 0 of canonical Heisenberg group H1 satisfies inner and outer continuously deformable cc-homogeneous cone conditions and cc-uniformity condition. By means of that we prove that hyperspace (x, y, t, z) j t > 0 of canonical Engel group E α, β satisfies inner and outer continuously deformable cc-homogeneous cone conditions.

Translated title of the contributionГиперпространства, удовлетворяющие условию cc-однородного конуса, на канонических группах Гейзенберга и Энгеля
Original languageEnglish
Pages (from-to)938-948
Number of pages11
JournalСибирские электронные математические известия
Volume16
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Carnot-Caratheodory metric
  • cc-homogeneous cone
  • Heisenberg group
  • Engel group
  • inner cone
  • outer cone
  • cc-uniform domain
  • hyperspace
  • NTA-DOMAINS
  • CARNOT

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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