Dept. Math, Hokkaido Univ. EPrints Server

Riemann-Finsler surfaces

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

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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.

Item Type:Preprint
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:1685