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VOL. 48 | 2007 Riemann-Finsler surfaces
Sorin V. Sabau, Hideo Shimada

Editor(s) Sorin V. Sabau, Hideo Shimada

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

Rights: Copyright © 2007 Mathematical Society of Japan

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