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On a Holonomy Flag of Non-holonomic Distributions. / Malkovich, E. G.

In: Journal of Dynamical and Control Systems, Vol. 24, No. 3, 01.07.2018, p. 355-370.

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

Harvard

Malkovich, EG 2018, 'On a Holonomy Flag of Non-holonomic Distributions', Journal of Dynamical and Control Systems, vol. 24, no. 3, pp. 355-370. https://doi.org/10.1007/s10883-018-9398-7

APA

Malkovich, E. G. (2018). On a Holonomy Flag of Non-holonomic Distributions. Journal of Dynamical and Control Systems, 24(3), 355-370. https://doi.org/10.1007/s10883-018-9398-7

Vancouver

Malkovich EG. On a Holonomy Flag of Non-holonomic Distributions. Journal of Dynamical and Control Systems. 2018 Jul 1;24(3):355-370. doi: 10.1007/s10883-018-9398-7

Author

Malkovich, E. G. / On a Holonomy Flag of Non-holonomic Distributions. In: Journal of Dynamical and Control Systems. 2018 ; Vol. 24, No. 3. pp. 355-370.

BibTeX

@article{bf3ef936945b4ed380840c4ca21988e6,
title = "On a Holonomy Flag of Non-holonomic Distributions",
abstract = "We give definition of a holonomy flag in subRiemannian geometry, a generalization of the Riemannian holonomy algebra, and calculate it for the 3D subRiemannian Lie groups for different connections. We rewrite and give new interpretation for the Codazzi equations for the (2,3)-distributions on SU(2) and the Heisenberg group. We calculate holonomy flag for Tanaka-Webster, Tanno, and Wagner connections.",
keywords = "Codazzi equations, Heisenberg group, Holonomy flag, SubRiemannian 3D Lie group, Tanaka-Webster connection, Tanno connection, Wagner connection",
author = "Malkovich, {E. G.}",
year = "2018",
month = jul,
day = "1",
doi = "10.1007/s10883-018-9398-7",
language = "English",
volume = "24",
pages = "355--370",
journal = "Journal of Dynamical and Control Systems",
issn = "1079-2724",
publisher = "Springer New York",
number = "3",

}

RIS

TY - JOUR

T1 - On a Holonomy Flag of Non-holonomic Distributions

AU - Malkovich, E. G.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We give definition of a holonomy flag in subRiemannian geometry, a generalization of the Riemannian holonomy algebra, and calculate it for the 3D subRiemannian Lie groups for different connections. We rewrite and give new interpretation for the Codazzi equations for the (2,3)-distributions on SU(2) and the Heisenberg group. We calculate holonomy flag for Tanaka-Webster, Tanno, and Wagner connections.

AB - We give definition of a holonomy flag in subRiemannian geometry, a generalization of the Riemannian holonomy algebra, and calculate it for the 3D subRiemannian Lie groups for different connections. We rewrite and give new interpretation for the Codazzi equations for the (2,3)-distributions on SU(2) and the Heisenberg group. We calculate holonomy flag for Tanaka-Webster, Tanno, and Wagner connections.

KW - Codazzi equations

KW - Heisenberg group

KW - Holonomy flag

KW - SubRiemannian 3D Lie group

KW - Tanaka-Webster connection

KW - Tanno connection

KW - Wagner connection

UR - http://www.scopus.com/inward/record.url?scp=85044180481&partnerID=8YFLogxK

U2 - 10.1007/s10883-018-9398-7

DO - 10.1007/s10883-018-9398-7

M3 - Article

AN - SCOPUS:85044180481

VL - 24

SP - 355

EP - 370

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

SN - 1079-2724

IS - 3

ER -

ID: 12178149