A Gauss-Bonnet-type formula on Riemann-Finsler surfaces with nonconstant indicatrix volume

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2010-03-01 DOI:10.1215/0023608X-2009-008

J. Itoh, S. Sabau, H. Shimada

引用次数: 7

Abstract

We prove a Gauss-Bonnet type formula for Riemann-Finsler surfaces of non-constant indicatrix volume and with regular piecewise smooth boundary. We give a Hadamard type theorem for N-parallels of a Landsberg surface.

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非常指标体积Riemann-Finsler曲面上的gauss - bonnet型公式

证明了具有规则分段光滑边界的非常指标体积Riemann-Finsler曲面的Gauss-Bonnet型公式。给出了兰兹伯曲面n个平行线的Hadamard型定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.