Publication result detail

EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE

KŘÍŽEK, J.; MIKEŠ, J.; PEŠKA, P.; RÝPAROVÁ, L.

Original Title

EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE

English Title

EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE

Type

Paper in proceedings (conference paper)

Original Abstract

In the paper we study the extremals and isoperimetric extremals of the rotations in the plane. We found that extremals of the rotations in the plane are arbitrary curves. By studying the Euler-Poisson equations for extended variational problems, we found that the isoperimetric extremals of the rotations in the Euclidian plane are straight lines.

English abstract

In the paper we study the extremals and isoperimetric extremals of the rotations in the plane. We found that extremals of the rotations in the plane are arbitrary curves. By studying the Euler-Poisson equations for extended variational problems, we found that the isoperimetric extremals of the rotations in the Euclidian plane are straight lines.

Keywords

Extremals of a rotation; isoperimetric extremals of a rotation; Euclidian plane

Key words in English

Extremals of a rotation; isoperimetric extremals of a rotation; Euclidian plane

Authors

KŘÍŽEK, J.; MIKEŠ, J.; PEŠKA, P.; RÝPAROVÁ, L.

RIV year

2022

Released

01.01.2021

Publisher

INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES

Location

SOFIA

Book

Proceedings of the International Conference on Geometry Integrability and Quantization

ISBN

1314-3247

Periodical

Geometry, Integrability and Quantization

Volume

22

State

Republic of Bulgaria

Pages from

136

Pages to

141

Pages count

6

URL

https://www.researchgate.net/publication/351681389_Extremals_and_Isoperimetric_Extremals_of_the_Rotations_in_the_Plane

BibTex

@inproceedings{BUT176027,
  author="Jan {Křížek} and Josef {Mikeš} and Patrik {Peška} and Lenka {Vítková}",
  title="EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE",
  booktitle="Proceedings of the International Conference on Geometry Integrability and Quantization",
  year="2021",
  journal="Geometry, Integrability and Quantization",
  volume="22",
  pages="136--141",
  publisher="INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES",
  address="SOFIA",
  doi="10.7546/giq-22-2021-136-141",
  issn="1314-3247",
  url="https://www.researchgate.net/publication/351681389_Extremals_and_Isoperimetric_Extremals_of_the_Rotations_in_the_Plane"
}