Lobachevsky geometry and stellar parallaxes
type: Item
instance of: scholarly article
title: Lobachevsky geometry and stellar parallaxes
zbMATH Open document ID: 1498.51017
DOI: 10.1134/S0037446622050032
published in: Siberian Mathematical Journal
publication date: 2022-10-06T00:00:00Z
review text: One aim of this paper is to provide proofs for the formulas and inequalities proposed without the proof by Lobachevsky in his first published paper on the subject of non-Euclidean geometry of 1829. These are obtained by computations in the Beltrami-Poincaré model. The other aim is to highlight the intimate connection between hyperbolic geometry and relativity theory.
reviewed by: Victor V. Pambuccian
Mathematics Subject Classification ID: 51M10
Mathematics Subject Classification ID: 53-03
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 7596645
zbMATH Keywords: Lobachevsky geometry
zbMATH Keywords: triangle excess
zbMATH Keywords: Poincaré model
zbMATH Keywords: parallax
zbMATH Keywords: rectangular triangle
zbMATH Keywords: parallelism angle
zbMATH Keywords: ecliptic
author: V. N. Berestovskij
MaRDI profile type: Publication
cites work: Curvatures of left invariant metrics on Lie groups
cites work: Q4333612
cites work: Q5805622
cites work: Q3426041
cites work: Hyperbolic geometry: The first 150 years
cites work: Geometry of knots and links
cites work: Three dimensional manifolds, Kleinian groups and hyperbolic geometry
full work available at URL: s0037446622050032
OpenAlex ID: W4300594592
description: scientific article; zbMATH DE number 7596645