Publication result detail

Almost Geodesic Curves as Intersections of n-Dimensional Spheres

PEŠKA, P.; MIKEŠ, J.; RÝPAROVÁ, L.

Original Title

Almost Geodesic Curves as Intersections of n-Dimensional Spheres

English Title

Almost Geodesic Curves as Intersections of n-Dimensional Spheres

Type

WoS Article

Original Abstract

In this paper, we proved that any intersections of an n-dimensional sphere with a two-dimensional plane in (n + 1)-dimensional Euclidean space are almost geodesic curves on the sphere. In this case, if the plane contains a sphere center, then the intersection is a geodesic on the sphere.

English abstract

In this paper, we proved that any intersections of an n-dimensional sphere with a two-dimensional plane in (n + 1)-dimensional Euclidean space are almost geodesic curves on the sphere. In this case, if the plane contains a sphere center, then the intersection is a geodesic on the sphere.

Keywords

almost geodesic curve; sphere; intersection

Key words in English

almost geodesic curve; sphere; intersection

Authors

PEŠKA, P.; MIKEŠ, J.; RÝPAROVÁ, L.

Released

30.06.2022

Publisher

Nauka / Springer

Location

New York

ISBN

1818-9962

Periodical

Lobachevskii Journal of Mathematics

Volume

43

Number

3

State

Russian Federation

Pages from

687

Pages to

690

Pages count

4

URL

https://link.springer.com/article/10.1134/S1995080222060282

BibTex

@article{BUT180736,
  author="Patrik {Peška} and Josef {Mikeš} and Lenka {Vítková}",
  title="Almost Geodesic Curves as Intersections of n-Dimensional Spheres",
  journal="Lobachevskii Journal of Mathematics",
  year="2022",
  volume="43",
  number="3",
  pages="687--690",
  doi="10.1134/S1995080222060282",
  issn="1995-0802",
  url="https://link.springer.com/article/10.1134/S1995080222060282"
}