Publication result detail

On Geodesic Definiteness by Similarity Points

HINTERLEITNER, I.; GUSEVA, N.; MIKEŠ, J.

Original Title

On Geodesic Definiteness by Similarity Points

English Title

On Geodesic Definiteness by Similarity Points

Type

Scopus Article

Original Abstract

In this paper, we present some results obtained in the theory of geodesic mappings of surfaces. It is well known that a mapping that is both conformal and geodesic is homothetic. Based on this property, we obtain new results on the definiteness of surfaces with respect to geodesic mappings, which generalize results obtained by V. T. Fomenko.

English abstract

In this paper, we present some results obtained in the theory of geodesic mappings of surfaces. It is well known that a mapping that is both conformal and geodesic is homothetic. Based on this property, we obtain new results on the definiteness of surfaces with respect to geodesic mappings, which generalize results obtained by V. T. Fomenko.

Keywords

geodesic mapping, conformal mapping, pseudo-Riemannian spaces, Riemannian spaces, surfacre, definitness

Key words in English

geodesic mapping, conformal mapping, pseudo-Riemannian spaces, Riemannian spaces, surfacre, definitness

Authors

HINTERLEITNER, I.; GUSEVA, N.; MIKEŠ, J.

RIV year

2024

Released

19.12.2023

Publisher

Springer

Location

USA

ISBN

1072-3374

Periodical

Journal of Mathematical Sciences

Number

277

State

United States of America

Pages from

727

Pages to

735

Pages count

9

URL

https://link.springer.com/article/10.1007/s10958-023-06879-z

BibTex

@article{BUT187855,
  author="Irena {Hinterleitner} and Nadezda {Guseva} and Josef {Mikeš}",
  title="On Geodesic Definiteness by Similarity Points",
  journal="Journal of Mathematical Sciences",
  year="2023",
  number="277",
  pages="727--735",
  doi="10.1007/s10958-023-06879-z",
  issn="1072-3374",
  url="https://link.springer.com/article/10.1007/s10958-023-06879-z"
}