Publication result detail

Rotary Mappings and Projections of a Sphere

MIKEŠ, J.; GUSEVA, N.; PEŠKA, P.; RÝPAROVÁ, L.

Original Title

Rotary Mappings and Projections of a Sphere

English Title

Rotary Mappings and Projections of a Sphere

Type

WoS Article

Original Abstract

Rotary mappings of two-dimensional spaces were studied by many authors. In this paper, we show that parallel and central projections of a sphere onto a plane or a sphere are rotary mappings. These projections also realize the rotary transformations of a sphere. In particular, we construct rotary mappings between compact spaces "in the large." Note that the classical stereographic projection is a rotary mapping as well.

English abstract

Rotary mappings of two-dimensional spaces were studied by many authors. In this paper, we show that parallel and central projections of a sphere onto a plane or a sphere are rotary mappings. These projections also realize the rotary transformations of a sphere. In particular, we construct rotary mappings between compact spaces "in the large." Note that the classical stereographic projection is a rotary mapping as well.

Keywords

rotary mapping; projection of a sphere; mappings "in the large"

Key words in English

rotary mapping; projection of a sphere; mappings "in the large"

Authors

MIKEŠ, J.; GUSEVA, N.; PEŠKA, P.; RÝPAROVÁ, L.

RIV year

2022

Released

01.07.2021

Publisher

MAIK NAUKA/INTERPERIODICA/SPRINGER

Location

NEW YORK

ISBN

0001-4346

Periodical

MATHEMATICAL NOTES

Volume

110

Number

1-2

State

Russian Federation

Pages from

152

Pages to

155

Pages count

4

URL

https://doi.org/10.4213/mzm13182

BibTex

@article{BUT175948,
  author="Josef {Mikeš} and Nadezda {Guseva} and Patrik {Peška} and Lenka {Vítková}",
  title="Rotary Mappings and Projections of a Sphere",
  journal="MATHEMATICAL NOTES",
  year="2021",
  volume="110",
  number="1-2",
  pages="152--155",
  doi="10.1134/S0001434621070166",
  issn="0001-4346",
  url="https://doi.org/10.4213/mzm13182"
}