Geodesic
On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces
Filomat, Tome 37 (2023) no. 25, p. 8569

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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.
DOI : 10.2298/FIL2325569P
Classification : 53B20, 53A05, 53A35;53B30
Keywords: Equidistant spaces, Two-dimension, (Pseudo-) Riemannian spaces, Equidistant field, Killing vector, General solutions 
Patrik Peška; Josef Mikeš; Lenka R Rýparová; Olena Chepurna. On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces. Filomat, Tome 37 (2023) no. 25, p. 8569 . doi: 10.2298/FIL2325569P
@article{10_2298_FIL2325569P,
     author = {Patrik Pe\v{s}ka and Josef Mike\v{s} and Lenka R R\'yparov\'a and Olena Chepurna},
     title = {On general solutions of equidistant vector fields on two-dimensional (pseudo-) {Riemannian} spaces},
     journal = {Filomat},
     pages = {8569 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325569P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325569P/}
}
TY  - JOUR
AU  - Patrik Peška
AU  - Josef Mikeš
AU  - Lenka R Rýparová
AU  - Olena Chepurna
TI  - On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces
JO  - Filomat
PY  - 2023
SP  - 8569 
VL  - 37
IS  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2325569P/
DO  - 10.2298/FIL2325569P
LA  - en
ID  - 10_2298_FIL2325569P
ER  - 
%0 Journal Article
%A Patrik Peška
%A Josef Mikeš
%A Lenka R Rýparová
%A Olena Chepurna
%T On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces
%J Filomat
%D 2023
%P 8569 
%V 37
%N 25
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2325569P/
%R 10.2298/FIL2325569P
%G en
%F 10_2298_FIL2325569P

Cité par Sources :