Gauss-Bonnet formula for general Lorentzian surfaces
type: Item
instance of: scholarly article
title: Gauss-Bonnet formula for general Lorentzian surfaces
zbMATH Open document ID: 0535.53051
DOI: 10.1007/BF00147645
author: Dzan Jin Jee
published in: Geometriae Dedicata
publication date: 1984-01-01T00:00:00Z
review text: The author establishes a new Gauss-Bonnet formula on general Lorentzian surfaces, which is formally very like the classical one. The length of a curve and the angle in Riemannian manifolds are replaced by the Lorentzian length and the sectional measure respectively. By the new Gauss-Bonnet formula the author derives some global properties on Lorentzian surfaces, which are original either in results or in techniques. In addition, the dual theorem of Jacobi on the de Sitter space \(S^ 2\!_ 1\) in the 3-dimensional flat Lorentzian space \(L^ 3\) is given.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 3850043
zbMATH Keywords: Lorentzian length
zbMATH Keywords: sectional measure
zbMATH Keywords: Gauss-Bonnet formula
zbMATH Keywords: Lorentzian surfaces
zbMATH Keywords: de Sitter space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00147645
OpenAlex ID: W2076084119
description: scientific article; zbMATH DE number 3850043