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PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. / Nikolaevich, Berestovskii Valerii; Aleksandrovna, Zubareva Irina.

In: Chebyshevskii Sbornik, Vol. 21, No. 2, 01.02.2020, p. 43-64.

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

Harvard

Nikolaevich, BV & Aleksandrovna, ZI 2020, 'PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups', Chebyshevskii Sbornik, vol. 21, no. 2, pp. 43-64. https://doi.org/10.22405/2226-8383-2020-21-2-43-64

APA

Nikolaevich, B. V., & Aleksandrovna, Z. I. (2020). PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. Chebyshevskii Sbornik, 21(2), 43-64. https://doi.org/10.22405/2226-8383-2020-21-2-43-64

Vancouver

Nikolaevich BV, Aleksandrovna ZI. PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. Chebyshevskii Sbornik. 2020 Feb 1;21(2):43-64. doi: 10.22405/2226-8383-2020-21-2-43-64

Author

Nikolaevich, Berestovskii Valerii ; Aleksandrovna, Zubareva Irina. / PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. In: Chebyshevskii Sbornik. 2020 ; Vol. 21, No. 2. pp. 43-64.

BibTeX

@article{6a4365e5fcdd46b697ba3abd51b50266,
title = "PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups",
abstract = "On the ground of origins of the theory of Lie groups and Lie algebras, their (co)adjoint representations, and the Pontryagin maximum principle for the time-optimal problem are given an independent foundation for methods of geodesic vector field to search for normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups and to look for the corresponding locally optimal controls in (sub-)Riemannian case, as well as some their applications.",
keywords = "(co)adjoint representation, Left-invariant (sub-)Finsler metric, Left-invariant (sub-)Riemannian metric, Lie algebra, Lie group, Mathematical pendulum, Normal geodesic, Optimal control",
author = "Nikolaevich, {Berestovskii Valerii} and Aleksandrovna, {Zubareva Irina}",
note = "Берестовский В.Н., Зубарева И.А. ПМП, (ко)присоединённое представление и нормальные геодезические левоинвариантных (суб)финслеровых метрик на группах Ли // Чебышевский сборник. - 2020. - Т. 21. - № 2. - С. 43-64",
year = "2020",
month = feb,
day = "1",
doi = "10.22405/2226-8383-2020-21-2-43-64",
language = "English",
volume = "21",
pages = "43--64",
journal = "Chebyshevskii Sbornik",
issn = "2226-8383",
publisher = "State Lev Tolstoy Pedagogical University",
number = "2",

}

RIS

TY - JOUR

T1 - PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups

AU - Nikolaevich, Berestovskii Valerii

AU - Aleksandrovna, Zubareva Irina

N1 - Берестовский В.Н., Зубарева И.А. ПМП, (ко)присоединённое представление и нормальные геодезические левоинвариантных (суб)финслеровых метрик на группах Ли // Чебышевский сборник. - 2020. - Т. 21. - № 2. - С. 43-64

PY - 2020/2/1

Y1 - 2020/2/1

N2 - On the ground of origins of the theory of Lie groups and Lie algebras, their (co)adjoint representations, and the Pontryagin maximum principle for the time-optimal problem are given an independent foundation for methods of geodesic vector field to search for normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups and to look for the corresponding locally optimal controls in (sub-)Riemannian case, as well as some their applications.

AB - On the ground of origins of the theory of Lie groups and Lie algebras, their (co)adjoint representations, and the Pontryagin maximum principle for the time-optimal problem are given an independent foundation for methods of geodesic vector field to search for normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups and to look for the corresponding locally optimal controls in (sub-)Riemannian case, as well as some their applications.

KW - (co)adjoint representation

KW - Left-invariant (sub-)Finsler metric

KW - Left-invariant (sub-)Riemannian metric

KW - Lie algebra

KW - Lie group

KW - Mathematical pendulum

KW - Normal geodesic

KW - Optimal control

UR - http://www.scopus.com/inward/record.url?scp=85086085273&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=42773646

U2 - 10.22405/2226-8383-2020-21-2-43-64

DO - 10.22405/2226-8383-2020-21-2-43-64

M3 - Article

AN - SCOPUS:85086085273

VL - 21

SP - 43

EP - 64

JO - Chebyshevskii Sbornik

JF - Chebyshevskii Sbornik

SN - 2226-8383

IS - 2

ER -

ID: 24520719