Abstract
This paper study the Gauss-Bonnet theorem for Finsler surfaces with smooth boundary. This is a natural generalization of the Gauss-Bonnet theorem for Riemannian surfaces with smooth boundary as well as an extension of the Gauss-Bonnet theorem for boundaryless Finsler surfaces. The paper starts with an introduction in the Finsler geometry of surfaces with emphasis on the Berwald and Landsberg surfaces.
Information
Published: 1 January 2007
First available in Project Euclid: 16 December 2018
zbMATH: 1144.53093
MathSciNet: MR2389254
Digital Object Identifier: 10.2969/aspm/04810125
Subjects:
Primary:
53B40
,
53C60
Keywords:
Berwald metrics
,
Gauss-Bonnet theorem
,
Landsberg metrics
,
Minkowski planes
Rights: Copyright © 2007 Mathematical Society of Japan
