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

Alexandr Valer yevich Greshnov

doi:10.33048/semi.2019.16.062

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

Research output: Contribution to journal › Article › peer-review

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
Original language	English
Pages (from-to)	938-948
Number of pages	11
Journal	Сибирские электронные математические известия
Volume	16
DOIs	https://doi.org/10.33048/semi.2019.16.062
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

Access to Document

10.33048/semi.2019.16.062

Cite this

@article{f45f852d0ee4481eae43a5dd68d03010,

title = "Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups",

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.",

keywords = "Carnot-Carath{\'e}odory metric, Cc-homogeneous cone, Cc-uniform domain, Engel group, Heisenberg group, Hyperspace, Inner cone, Outer cone, Carnot-Caratheodory metric, cc-homogeneous cone, Heisenberg group, Engel group, inner cone, outer cone, cc-uniform domain, hyperspace, NTA-DOMAINS, CARNOT",

author = "Greshnov, {Alexandr Valer yevich}",

note = "Грешнов А.В. Гиперпространства, удовлетворяющие условию cc-однородного конуса, на канонических группах Гейзенберга и Энгеля. - Сибирские электронные математические известия. - 2019. - Т. 16. - С. 938–948",

year = "2019",

month = jan,

day = "1",

doi = "10.33048/semi.2019.16.062",

language = "English",

volume = "16",

pages = "938--948",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

TY - JOUR

T1 - Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups

AU - Greshnov, Alexandr Valer yevich

N1 - Грешнов А.В. Гиперпространства, удовлетворяющие условию cc-однородного конуса, на канонических группах Гейзенберга и Энгеля. - Сибирские электронные математические известия. - 2019. - Т. 16. - С. 938–948

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Carnot-Carathéodory metric

KW - Cc-homogeneous cone

KW - Cc-uniform domain

KW - Engel group

KW - Heisenberg group

KW - Hyperspace

KW - Inner cone

KW - Outer cone

KW - Carnot-Caratheodory metric

KW - cc-homogeneous cone

KW - Heisenberg group

KW - Engel group

KW - inner cone

KW - outer cone

KW - cc-uniform domain

KW - hyperspace

KW - NTA-DOMAINS

KW - CARNOT

UR - http://www.scopus.com/inward/record.url?scp=85071169571&partnerID=8YFLogxK

U2 - 10.33048/semi.2019.16.062

DO - 10.33048/semi.2019.16.062

M3 - Article

AN - SCOPUS:85071169571

VL - 16

SP - 938

EP - 948

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

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

Abstract

Keywords

OECD FOS+WOS

State classification of scientific and technological information

Access to Document

Other files and links

Fingerprint

Cite this