Dept. Math, Hokkaido Univ. EPrints Server

Riemann-Finsler surfaces

Preprint Series # 835
Sabau, Sorin V and Shimada, Hideo Riemann-Finsler surfaces. (2007);

[img]PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader


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.

Item Type:Preprint
ID Code:1685