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一类射影平坦和对偶平坦的Finsler度量（英文）

A class of projectively flat and dually flat Finsler metrics
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摘要 Finsler几何是没有二次型限制的黎曼几何,Finsler几何中两个非常重要的问题是射影平坦和对偶平坦的Finsler度量.主要研究了一类含有3个参数的Finsler度量,得到了其为射影平坦和对偶平坦的充要条件. Finsler geometry is just Riemannian geometry without quadratic restriction,and the projectively flat and dually flat Finsler metrics are very important in Finsler geometry.Here a class of 3-parameter of Finsler metrics were studied,and the necessary and sufficient conditions for the Finsler metrics to be projectively flat and dually flat were obtained.
作者 何超 李影 宋卫东
机构地区 安徽师范大学数学计算机科学学院
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2017年第6期459-464,473,共7页 JUSTC
基金 Supported by the National Natural Science Foundation of China(11371032)
关键词 FINSLER度量 球对称 射影平坦 对偶平坦 Finsler metrics spherically symmetric projectively flat dually flat
分类号 O186.12 [理学—基础数学]
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中国科学技术大学学报
2017年 第6期

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