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Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups. / Greshnov, Alexandr Valer yevich.

In: Сибирские электронные математические известия, Vol. 16, 01.01.2019, p. 938-948.

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

Harvard

Greshnov, AVY 2019, 'Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups', Сибирские электронные математические известия, vol. 16, pp. 938-948. https://doi.org/10.33048/semi.2019.16.062

APA

Greshnov, A. V. Y. (2019). Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups. Сибирские электронные математические известия, 16, 938-948. https://doi.org/10.33048/semi.2019.16.062

Vancouver

Greshnov AVY. Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups. Сибирские электронные математические известия. 2019 Jan 1;16:938-948. doi: 10.33048/semi.2019.16.062

Author

Greshnov, Alexandr Valer yevich. / Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups. In: Сибирские электронные математические известия. 2019 ; Vol. 16. pp. 938-948.

BibTeX

@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",

}

RIS

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 -

ID: 21344789