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 contribution | Гиперпространства, удовлетворяющие условию cc-однородного конуса, на канонических группах Гейзенберга и Энгеля |
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Original language | English |
Pages (from-to) | 938-948 |
Number of pages | 11 |
Journal | Сибирские электронные математические известия |
Volume | 16 |
DOIs | |
Publication status | Published - 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