Publication detail

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

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

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

15. 11. 2023

Publisher

Faculty of Science and Mathematics, University of Niš

Location

Niš

ISBN

0354-5180

Periodical

FILOMAT

Year of study

37

Number

25

State

Republic of Serbia

Pages from

8569

Pages to

8574

Pages count

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"
}