对偶平坦的四次根式度量
Dually Flat Fourth Root Metric
DOI: 10.12677/PM.2013.33029, PDF, 下载: 3,056  浏览: 8,326  科研立项经费支持
作者: 徐 兵*：宁波大学数学系
关键词: 芬斯勒度量；对偶平坦；测地系数；Finsler Metric; Dually Flat; Geodetic Coefficients
摘要: 本文主要研究三类带根号的芬斯勒度量，并得到了它们作为对偶平坦度量时所满足的微分方程，进一步探讨了三类度量之间的关系。
Abstract: In this paper, we mainly study three kinds of Finsler metrics which have the square root, and get some differential equations when they are dually flat. Furthermore, we discuss the relationship between the three kinds of Finsler metrics.
文章引用：徐兵. 对偶平坦的四次根式度量[J]. 理论数学, 2013, 3(3): 195-200. http://dx.doi.org/10.12677/PM.2013.33029

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