Detail publikačního výsledku

On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces

PEŠKA, P.; MIKEŠ, J.; VÍTKOVÁ, L.; CHEPURNA, O.

Originální název

On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces

Anglický název

On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces

Druh

Článek WoS

Originální abstrakt

The paper is devoted to studying equidistant two-dimensional (pseudo-) Riemannian spaces. Embeddings of these spaces in three-dimensional Euclidean and Minkowski spaces as revolution or helical surfaces are given. The general solution of equidistant equations is found beyond these spaces under minimal requirements for the differentiability of the studied objects. These vector fields are associated with Killing vector fields on those spaces.

Anglický abstrakt

The paper is devoted to studying equidistant two-dimensional (pseudo-) Riemannian spaces. Embeddings of these spaces in three-dimensional Euclidean and Minkowski spaces as revolution or helical surfaces are given. The general solution of equidistant equations is found beyond these spaces under minimal requirements for the differentiability of the studied objects. These vector fields are associated with Killing vector fields on those spaces.

Klíčová slova

Equidistant spaces; Two-dimension; (Pseudo-) Riemannian spaces; Equidistant field; Killing vector; General solutions

Klíčová slova v angličtině

Equidistant spaces; Two-dimension; (Pseudo-) Riemannian spaces; Equidistant field; Killing vector; General solutions

Autoři

PEŠKA, P.; MIKEŠ, J.; VÍTKOVÁ, L.; CHEPURNA, O.

Rok RIV

2024

Vydáno

15.11.2023

Nakladatel

Faculty of Science and Mathematics, University of Niš

Místo

Niš

ISSN

0354-5180

Periodikum

Filomat

Svazek

37

Číslo

25

Stát

Srbská republika

Strany od

8569

Strany do

8574

Strany počet

6

URL

https://www.pmf.ni.ac.rs/filomat-content/2023/37-25/37-25-16-20126.pdf

BibTex

@article{BUT187032,
  author="Patrik {Peška} and Josef {Mikeš} and Lenka {Vítková} and Olena {Chepurna}",
  title="On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces",
  journal="Filomat",
  year="2023",
  volume="37",
  number="25",
  pages="8569--8574",
  doi="10.2298/FIL2325569P",
  issn="0354-5180",
  url="https://www.pmf.ni.ac.rs/filomat-content/2023/37-25/37-25-16-20126.pdf"
}