RiemannFinsler surfacesPreprint Series # 835
AbstractThis paper study the GaussBonnet theorem for Finsler surfaces with smooth boundary. This is a natural generalization of the GaussBonnet theorem for Riemannian surfaces with smooth boundary as well as an extension of the GaussBonnet 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.
